Hilbert cube

Named after German mathematician David Hilbert (1862–1943)

named-after

(topology) A metrizable topological space which is the product of a countably infinite number of closed intervals.


Cantor set

Named after German mathematician Georg Cantor (1845–1918).

The Lebesgue null sets include not only all countable sets but many sets having the cardinality of the continuum. We now present the standard example, the Cantor set, which is also of interest for other reasons.

1999, Gerald B. Folland, Real Analysis : Modern Techniques and Their Applications, 2nd edition, New York: John Wiley & Sons, Inc., →ISBN, →OCLC, §1.5, page 38:

mathematical analysis
mathematical analysis

connected component
connected component#English

(mathematical analysis, topology) A subset of an interval formed by recursively removing an interval in the middle of every connected component of the set.


S²

(topology) sphere (the surface of a three-dimensional ball)


Sⁿ

(topology) An n-dimensional sphere; the surface of an (n+1)-dimensional ball.


fita de Möbius

pt-noun

fita de Möbius f (plural fitas de Möbius)

(topology) Möbius strip (surface formed by connecting two opposite edges of a square in opposite directions)


folheação

(topology) foliation (a set of subspaces coextensive with a manifold)


winding number

(geometry, topology, mathematical analysis) The total number of times a given curve travels counterclockwise around a specified point.

indeks

the number of times a curve travels counterclockwise around a point


antipodism

(topology) The relation between points on a sphere which are directly opposite each other; or the function which maps a point to its opposite point.


Brunnian link

Named after Hermann Brunn, whose 1892 article Über Verkettung included examples of such links.

(topology) A nontrivial link that becomes a set of trivial unlinked circles if any one component is removed. In other words, cutting any loop frees all the other loops.


domknięcie

domknięcie (nominative singular)
domknięcia (nominative plural)
domknięcia (genitive singular)
domknięć (genitive plural)
domknięciu (dative singular)
domknięciom (dative plural)
domknięcie (accusative singular)
domknięcia (accusative plural)
domknięciem (instrumental singular)
domknięciami (instrumental plural)
domknięciu (locative singular)
domknięciach (locative plural)
domknięcie (singular vocative)
domknięcia (plural vocative)

/dɔmˈkɲɛɲ.t͡ɕɛ/

(topology) closure (smallest closed set which contains the given set)


Jordan curve

Named after French mathematician Camille Jordan (1838-1922), who first proved the Jordan curve theorem.

When μ is small and positive, the locus (1) consists of a Jordan curve near each of the Jordan curves belonging to B.

1950, Joseph Leonard Walsh, The Location of Critical Points of Analytic and Harmonic Functions, American Mathematical Society, page 242:

If fis a closed curve that is one-one on [0,1] except for f(0) = f(I), then we say that f is a Jordan curve. A Jordan curve can be seen as a homeomorphism from the circle C onto a subset of the given space.

1992, Konrad Jacobs, Invitation to Mathematics, page 164:

The most general Jordan curves, like the triangle, have the property of dividing the plane into two regions.

2001, Constantin Carathéodory, Theory of Functions of a Complex Variable, volume 1, page 100:

(topology) A non-self-intersecting continuous loop in the plane; a simple closed curve.


espaço topológico

espaço topológico m (plural espaços topológicos)

(topology) topological space (a set with its topology)


distance function

en-noun

distance function (plural distance functions)


noncompactness

Our aim in this paper is to present results of existence of fixed points for continuous operators in Banach spaces using measure of noncompactness under an integral condition.

2015, Vatan Karakaya, Bouzara Nour El Houda, Kadri Dogan, Yunus Atalan, “Existence of fixed points for condensing operators under an integral condition”, in (Please provide the book title or journal name):

(topology) The quality or state of being noncompact.


fibrational

en-adj

fibrational (comparative more fibrational, superlative most fibrational)

more fibrational (comparative)
most fibrational (superlative)

Applying the fibrational form of the Yoneda lemma, we develop a general calculus of modules, proving that they naturally assemble into a multicategory-like structure called a virtual equipment, which is known to be a robust setting in which to develop formal category theory.

2015, Emily Riehl, Dominic Verity, “Kan extensions and the calculus of modules for ∞-categories”, in arXiv:

(algebraic topology) Of or pertaining to a fibration.


hypertorus

LL-Q1860 (eng)-Flame, not lame-hypertorus.wav

(geometry, topology) An N-dimensional equivalent of a torus, where N is a positive integer greater than 3.


precompact

(topology) Forming a relatively compact subspace; Having a closure that is compact.

(topology) Totally bounded; Having a cover that consists of finitely many finite subsets.


supercyclic

LL-Q1860 (eng)-Flame, not lame-supercyclic.wav

(topology) Having a subspace of hypercyclic vectors


quasi-compact

(topology, of a space) In which has every open cover has a finite subcover.


Pachner move

(topology) Any of a set of ways of replacing a triangulation of a piecewise linear manifold by a different triangulation of a homoeomorphic manifold.


pseudoline

LL-Q1860 (eng)-Flame, not lame-pseudoline.wav

(topology) A curve that shares certain topological properties with a line.


メビウスの帯

メビウスの帯 (canonical)
Mebiusu no obi (romanization)

メビウス (Mebiusu, from German Möbius) + の (no, “'s”) + 帯 (“belt; band; obi”)

compound

from German <i class="Latn mention" lang="de">Möbius</i>


angelicity

(topology) The quality of a Hausdorff space of being angelic.


Lindelöf

After the Finnish mathematician Ernst Leonard Lindelöf.

(topology, of a topological space) Such that any open cover has a countable subcover.


multitwist

A Leininger-Reid subgroup cannot be convex cocompact, because it contains a multitwist.

2007, Athanase Papadopoulos, Handbook of Teichmüller Theory - Volume 1, →ISBN, page 407:

(topology) An automorphism that induces a set of Dehn twists around a surface.


Hauptvermutung

From German Hauptvermutung, from haupt- (“main, chief, primary”) + Vermutung (“conjecture”).

(topology) The conjecture, now proven false, that any two triangulations of a triangulable space have a common refinement, a single triangulation that is a subdivision of both of them.


quasireflexive

(topology) Of a Banach space X: such that the quotient X ′′ / J(X) has finite dimension d. (It is then said to be "quasireflexive of order d".)


bispace

LL-Q1860 (eng)-Flame, not lame-bispace.wav


pseudo-Anosov

en-adj

pseudo-Anosov (comparative more pseudo-Anosov, superlative most pseudo-Anosov)

more pseudo-Anosov (comparative)
most pseudo-Anosov (superlative)

(topology) Pertaining to the generalization of Anosov diffeomorphism of the torus introduced by William Thurston.


ditopological

Actually a soft ditopological space is a soft set with two independent structures on it - a soft topology and a soft co-topology.

2015, Tugbahan Simsekler Dizman, Alexander Sostak, Saziye Yuksel, “Soft Ditopological Spaces”, in arXiv:


ditopology

(topology) A dichotomous topology; A topology that includes two structures: one describing the properties related to openness of sets, the other describing the properties related to closedness of sets.


disintegrability

Then a topological characterization of the subclasses of extensions satisfying the further properties of full disintegrability and full strong conglomerability is given and their envelopes are studied..

2016, Davide Petturiti, Barbara Vantaggi, “Envelopes of conditional probabilities extending a strategy and a prior probability”, in arXiv:

(topology) The condition of being disintegrable


branch cut

(topology, complex analysis) A curve in the complex plane such that it is possible to define a single analytic branch of a multi-valued function on the plane minus that curve.


topologicality

Switching off magnetism by atomic substitution and ensuring that the electronic structure becomes two-dimensional is sufficient for topologicality to arise in such a system.

2016, J. L. Lado, V. Pardo, “Dirac topological insulator in the d_(z²) manifold of a honeycomb oxide”, in arXiv:

(topology) The condition of being topological


paracomplex

LL-Q1860 (eng)-Flame, not lame-paracomplex.wav

(topology) Pertaining to the category of all metric spaces and all CW-complexes.


aposyndetic

The families of nondegenerate colocally connected or aposyndetic continua in Iⁿ and of at least two-dimensional or decomposable Kelley continua are F#95;#123;#92;sigma#92;delta#125;-absorbers in the hyperspace C(Iⁿ) for n#92;ge 3.

2016, Paweł Krupski, Alicja Samulewicz, “More absorbers in hyperspaces”, in arXiv:

(topology) Having the property that for all points x distinct from a specified point p, there is a compact connected neighborhood of p that does not include x.


閉包

/pi⁵¹ pɑʊ̯⁵⁵/

/pi⁵¹ pɑʊ̯⁵⁵/

(programming, algebra, topology) closure


曲面

/t͡ɕʰy⁵⁵ mi̯ɛn⁵¹/

/t͡ɕʰy⁵⁵ mi̯ɑɻ⁵¹/

/kʰʊk̚⁵ miːn²²⁻³⁵/

/t͡ɕʰy⁵⁵ mi̯ɛn⁵¹/

/t͡ɕʰy⁵⁵ mi̯ɑɻ⁵¹/

/kʰʊk̚⁵ miːn²²⁻³⁵/


Morin surface

(topology) A halfway model of the sphere eversion, featuring fourfold rotational symmetry.


halfway model

(topology) An immersion of the sphere S² in R ³, which is the halfway point of a sphere eversion.


trivial topology

en-noun

trivial topology (plural trivial topologies)

(topology) A topology consisting only of the empty set and the underlying set.


underlying set

(topology) A set of "points" upon which a topology is built, thereby yielding a topological space.


cofinite topology

cofinite topology (plural cofinite topologies)

(topology) A topology consisting of the empty set and all cofinite subsets of the underlying set.


précompacité

From pré- + compacité or précompact + -ité.


topological property

topological property (plural topological properties)

(topology) A property of a topological space that is invariant under homeomorphisms.


Brouwer fixed-point theorem

the Brouwer fixed-point theorem (canonical)

Named after L. E. J. Brouwer (1881–1966), Dutch mathematician and philosopher.

(topology) A theorem which (in one of its simplest forms) states that a continuous function from an n-dimensional unit cube (in ℝⁿ) to itself has a fixed point.

Brouwer fixed-point theorem
L. E. J. Brouwer


Bolzano-Weierstrass property

the Bolzano-Weierstrass property (canonical)

Named after Bernard Bolzano (1781–1848), a Bohemian mathematician, logician, philosopher, theologian and Catholic priest of Italian descent, and Karl Weierstrass (1815–1897), a German mathematician often cited as the "father of modern analysis".

(topology) The property held by some topological spaces that if a subset of such a space has an infinite quantity of points then the subset has at least one accumulation point.


位相空間

ja-noun

位(い)相(そう)空(くう)間(かん) • (isō kūkan) ^(←ゐさうくうかん (wisau kuukan)?)

位相空間 (canonical)
isō kūkan (romanization)
wisau kuukan (romanization)
ゐさうくうかん (hiragana historical)

[iso̞ː kɯ̟ːkã̠ɴ]


condensation point

en-noun

condensation point (plural condensation points)

(topology) (said to be "of" a given subset of a topological space) a point whose every neighborhood contains uncountably many points belonging to the given subset


Lindelöf covering theorem

Named after Ernst Leonard Lindelöf (1870–1946), a Finnish mathematician.

(topology) A theorem which states that for any open covering of some given set in Euclidean n-space there is an open subcovering (of that same set) which is countable.


tangent space

This gives a degenerate norm on the tangent space of Hₙ at the origin, and one can use left translations to define similar norms at the tangent spaces of Hₙ at all other points.

2001, Stephen Semmes, Some Novel Types of Fractal Geometry, Oxford University Press, page 124:

In a Lie group G, because left translation by an element g #92;in G is a diffeomorphism that maps a neighborhood of the identity to a neighborhood of g, all the local information about the group is concentrated in a neighborhood of the identity, and the tangent space of the identity assumes a special importance.
Moreover, one can give the tangent space TₑG a Lie bracket [ , ], so that in addition to being a vector space, it becomes a Lie algebra, called the Lie algebra of the Lie group.

2011, Loring W. Tu, An Introduction to Manifolds, 2nd edition, Springer, page 178:

More dramatically, there are situations where one has a sequence of smooth manifolds such that the limit is again a smooth manifold, but with a limiting “tangent space” which has nothing to do with the actual tangent space of the limit!

2014, Peter K. Friz, Martin Hairer, A Course on Rough Paths: With an Introduction to Regularity Structures, Springer, page 7:

(topology, differential topology) An n-dimensional vector space that represents the set of all vectors tangent to given n-dimensional differentiable manifold M at point x.


quotient map

If the square #91;0,1#93;#92;times#91;0,1#93; (with the subspace topology) in #92;mathbb#123;R#125;² (with the standard topology) is mapped onto the set #91;0,1)#92;times#91;0,1) with the quotient map f(x,y)#61;(#92;lfloorx#92;rfloor,#92;lfloory#92;rfloor), then the target space (with its induced quotient topology) is topologically equivalent to a torus.

(topology) A surjective, continuous function from one topological space to another one, such that the latter one's topology has the property that if the inverse image (under the said function) of some subset of it is open in the function's domain, then the subset is open in the target space.


identification map

identification map (plural identification maps)


turning number

This program illustrates the Whitney-Graustein theorem, that two closed curves (immersions of the circle) in the plane can be deformed into one another without letting go of the immersion property if and only if their turning numbers are the same.

1989, Wayne Sewell, Weaving a Program: Literate Programming in WEB, page 516:

Moreover, l gives the turning number of the k-gon one sees in the horizontal symmetry plane when the axes of the ends are deleted.[…]Moreover, every even k ≥ 30 except for 32, 36, 40, 44, 48 52 an 56 gives an example, while for every even k > 102 there is more than one example since different turning numbers are possible.

1998, Karsten Groβe-Brauckmann, Robert B. Kusner, John M. Sullivan, “Constant Mean Curvature Surfaces with Cylindrical Ends”, in Hans-Christian Hege, Konrad Polthier, editors, Mathematical Visualization: Algorithms, Applications and Numerics, Springer, page 114:

2002, Journal of Physics: Mathematical and general, page 6187,
For any oriented curve β(τ),τ∈I,I=[0,Λ] of class C¹ (τ is the arclength parametrization) lying in an oriented Euclidean plane E, the turning number 𝒯_(n_β) may be defined as
𝒯_(n_β)=1/(2π)∫₀^Λκ_β(τ)dτ
where κ_β(τ) is the signed curvature of β.

(geometry, topology, mathematical analysis) A version of winding number in which the number of rotations is counted with respect to the tangent of the curve rather than a fixed point.


Hopf link

From Hopf + link. From being an interlinkage named after Heinz Hopf.

(topology) The simplest interlinkage of two loops; two interlinked rings.


Whitehead link

(topology) One of the most basic interlinkages of two loops; a link with one ring passing through the two lobes of a singly twisted loop.


Jordan curve theorem

There is a vast generalization of the Jordan curve theorem to higher dimensions.

1995, William Fulton, Algebraic Topology: A First Course, Springer, page 343:

The Jordan curve theorem asserts that a simple closed curve in the complex plane divides the plane into exactly two connected components, one bounded (the "inside") and the other unbounded (the "outside" ).

2001, Theodore Gamelin, Complex Analysis, Springer, page 249:

The principal reason that orbit behavior in the plane is more limited than in higher dimensions is the Jordan curve theorem. Local sections will be the primary tool used to exploit the Jordan curve theorem.

2004, Nelson G. Markley, Principles of Differential Equations, Wiley, page 193:

(topology) The theorem that states that a simple closed curve (Jordan curve) divides the plane into precisely two distinct areas.


มิติ

th-noun

มิติ • (mí-dtì)

From Pali miti (“weight; measure”), from Sanskrit मिति (miti, “idem”).

(mathematics, physics, topology) dimension.


omegn

head

omegn c (singular definite omegnen, plural indefinite omegne)

omegnen (definite singular)
omegne (indefinite plural)
omegn (indefinite nominative singular)
omegnen (definite nominative singular)
omegne (indefinite nominative plural)
omegnene (definite nominative plural)
omegns (genitive indefinite singular)
omegnens (definite genitive singular)
omegnes (genitive indefinite plural)
omegnenes (definite genitive plural)

(topology) neighbourhood (subset of topological space containing open set containing some specified point)


sober space

For a reader more interested in function spaces than in functors, this concludes the description of content except to add that the classification of coadjoint G’s by sets B bearing a topological topology relativizes to T₀ spaces. For other readers: and trivially to sober spaces.

1975, Mathematica Scandinavica, Societates Mathematicae, page 318:

1983, Houston Journal of Mathematics, Volume 9, University of Houston, page 192,
In the Hofmann and Lawson paper, it is proved that the topological space Spec(L) is a locally quasicompact sober space […] .

Thus sober spaces are necessarily T₀.

2002, P. T. Johnstone, Sketches of an Elephant: A Topos Theory Compendium, volume 2, Oxford University Press, page 492:

How rich are sober and L-sober spaces, are there important examples? It is well-known [25] that Hausdorff spaces, and hence compact T₀ (and so finite T₀ spaces), are sober spaces in the traditional setting. Furthermore, the soberification of a space—the spectrum of the topology of a space—is always sober; and if the original space is not Hausdorff, then its soberification is a sober space which is not Hausdorff. So there are many non-Hausdorff sober spaces as well.

2003, A. Pultr, S. E. Rodabaugh, “Chapter 6: Lattice-Valued Frames, Functor Categories, And Classes of Sober Spaces”, in Stephen Ernest Rodabaugh, Erich Peter Klement, editors, Topological and Algebraic Structures in Fuzzy Sets: A Handbook of Recent Developments in the Mathematics of Fuzzy Sets, Springer, page 155:

When X is a noetherian sober space the construction of loc. cit. can be extended to an arbitrary lower-semicontinuous function for the constructible topology.

2004, Ofer Gabber, “Notes on some t-structures”, in Alan Adolphson, Francesco Baldassarri, Pierre Berthelot, Nicholas Katz, François Loeser, editors, Geometric Aspects of Dwork Theory, volume 1, Walter de Gruyter, page 711:

(topology) A topological space of which every join-irreducible closed subset is the closure of exactly one point of the space.


Sierpinski space

en-noun

Sierpinski space (plural Sierpinski spaces)

Named in honour of Wacław Sierpiński (1882–1969), a Polish mathematician.

Alexandrov-discrete space
Alexandrov-discrete space

(topology) A two-point Alexandrov-discrete space.


generic property

generic property (plural generic properties)

1989, Thomas S. Parker, Leon O. Chua, Appendix C: Differential Topology, Practical Numerical Algorithms for Chaotic Systems, Springer, Softcover reprint, page 314,
A property P that refers to members of a set Y is a generic property if the subset of Y whose members exhibit property P contains a dense open subset of Y.
Remark: If P₁ and P₂ are generic properties of a set Y, then so is the property "P₁ and P₂."

2001, Constantin I. Chueshov (translator), Igor Chueshov, Introduction to the Theory of Infinite-dimensional Dissipative Systems, [1999, Russian edition] Acta Scientific Publishing House, page 117,
It should be noted that if a property of a dynamical system holds for the parameters from an open and dense set in the corresponding space, then it is frequently said that this property is a generic property.
However, it should be kept in mind that the generic property is not the one that holds almost always. […] Therefore, it should be remembered that generic properties are quite frequently encountered and stay stable during small perturbations of the properties of a system.

We now formulate the first generic property concerning the singularities of a Hamiltonian function.

2010, H. W. Broer, F. Takens, “Chapter 1: Preliminaries of Dynamical Systems Theory”, in B. Hasselblatt, H. W. Broer, F. Takens, editors, Handbook of Dynamical Systems, volume 3, Elsevier (North-Holland), page 24:

(topology, algebraic geometry) A property that is true in some dense open subset of a given set.


leikkauskäyrä

leikkauskäyrä (nominative singular)
leikkauskäyrät (nominative plural)
leikkauskäyrä (accusative nominative singular)
leikkauskäyrät (accusative nominative plural)
leikkauskäyrän (accusative genitive singular)
leikkauskäyrät (accusative genitive plural)
leikkauskäyrän (genitive singular)
leikkauskäyrien (genitive plural)
leikkauskäyräin (genitive plural rare)
leikkauskäyrää (partitive singular)
leikkauskäyriä (partitive plural)
leikkauskäyrässä (inessive singular)
leikkauskäyrissä (inessive plural)
leikkauskäyrästä (elative singular)
leikkauskäyristä (elative plural)
leikkauskäyrään (illative singular)
leikkauskäyriin (illative plural)
leikkauskäyrällä (adessive singular)
leikkauskäyrillä (adessive plural)
leikkauskäyrältä (ablative singular)
leikkauskäyriltä (ablative plural)
leikkauskäyrälle (allative singular)
leikkauskäyrille (allative plural)
leikkauskäyränä (essive singular)
leikkauskäyrinä (essive plural)
leikkauskäyräksi (singular translative)
leikkauskäyriksi (plural translative)
leikkauskäyrättä (abessive singular)
leikkauskäyrittä (abessive plural)
leikkauskäyrin (instructive plural)
See the possessive forms below. (comitative)
leikkauskäyräni (nominative singular)
leikkauskäyräni (nominative plural)
leikkauskäyräni (accusative nominative singular)
leikkauskäyräni (accusative nominative plural)
leikkauskäyräni (accusative genitive singular)
leikkauskäyräni (accusative genitive plural)
leikkauskäyräni (genitive singular)
leikkauskäyrieni (genitive plural)
leikkauskäyräini (genitive plural rare)
leikkauskäyrääni (partitive singular)
leikkauskäyriäni (partitive plural)
leikkauskäyrässäni (inessive singular)
leikkauskäyrissäni (inessive plural)
leikkauskäyrästäni (elative singular)
leikkauskäyristäni (elative plural)
leikkauskäyrääni (illative singular)
leikkauskäyriini (illative plural)
leikkauskäyrälläni (adessive singular)
leikkauskäyrilläni (adessive plural)
leikkauskäyrältäni (ablative singular)
leikkauskäyriltäni (ablative plural)
leikkauskäyrälleni (allative singular)
leikkauskäyrilleni (allative plural)
leikkauskäyränäni (essive singular)
leikkauskäyrinäni (essive plural)
leikkauskäyräkseni (singular translative)
leikkauskäyrikseni (plural translative)
leikkauskäyrättäni (abessive singular)
leikkauskäyrittäni (abessive plural)
leikkauskäyrineni (comitative plural)
leikkauskäyräsi (nominative singular)
leikkauskäyräsi (nominative plural)
leikkauskäyräsi (accusative nominative singular)
leikkauskäyräsi (accusative nominative plural)
leikkauskäyräsi (accusative genitive singular)
leikkauskäyräsi (accusative genitive plural)
leikkauskäyräsi (genitive singular)
leikkauskäyriesi (genitive plural)
leikkauskäyräisi (genitive plural rare)
leikkauskäyrääsi (partitive singular)
leikkauskäyriäsi (partitive plural)
leikkauskäyrässäsi (inessive singular)
leikkauskäyrissäsi (inessive plural)
leikkauskäyrästäsi (elative singular)
leikkauskäyristäsi (elative plural)
leikkauskäyrääsi (illative singular)
leikkauskäyriisi (illative plural)
leikkauskäyrälläsi (adessive singular)
leikkauskäyrilläsi (adessive plural)
leikkauskäyrältäsi (ablative singular)
leikkauskäyriltäsi (ablative plural)
leikkauskäyrällesi (allative singular)
leikkauskäyrillesi (allative plural)
leikkauskäyränäsi (essive singular)
leikkauskäyrinäsi (essive plural)
leikkauskäyräksesi (singular translative)
leikkauskäyriksesi (plural translative)
leikkauskäyrättäsi (abessive singular)
leikkauskäyrittäsi (abessive plural)
leikkauskäyrinesi (comitative plural)
leikkauskäyrämme (nominative singular)
leikkauskäyrämme (nominative plural)
leikkauskäyrämme (accusative nominative singular)
leikkauskäyrämme (accusative nominative plural)
leikkauskäyrämme (accusative genitive singular)
leikkauskäyrämme (accusative genitive plural)
leikkauskäyrämme (genitive singular)
leikkauskäyriemme (genitive plural)
leikkauskäyräimme (genitive plural rare)
leikkauskäyräämme (partitive singular)
leikkauskäyriämme (partitive plural)
leikkauskäyrässämme (inessive singular)
leikkauskäyrissämme (inessive plural)
leikkauskäyrästämme (elative singular)
leikkauskäyristämme (elative plural)
leikkauskäyräämme (illative singular)
leikkauskäyriimme (illative plural)
leikkauskäyrällämme (adessive singular)
leikkauskäyrillämme (adessive plural)
leikkauskäyrältämme (ablative singular)
leikkauskäyriltämme (ablative plural)
leikkauskäyrällemme (allative singular)
leikkauskäyrillemme (allative plural)
leikkauskäyränämme (essive singular)
leikkauskäyrinämme (essive plural)
leikkauskäyräksemme (singular translative)
leikkauskäyriksemme (plural translative)
leikkauskäyrättämme (abessive singular)
leikkauskäyrittämme (abessive plural)
leikkauskäyrinemme (comitative plural)
leikkauskäyränne (nominative singular)
leikkauskäyränne (nominative plural)
leikkauskäyränne (accusative nominative singular)
leikkauskäyränne (accusative nominative plural)
leikkauskäyränne (accusative genitive singular)
leikkauskäyränne (accusative genitive plural)
leikkauskäyränne (genitive singular)
leikkauskäyrienne (genitive plural)
leikkauskäyräinne (genitive plural rare)
leikkauskäyräänne (partitive singular)
leikkauskäyriänne (partitive plural)
leikkauskäyrässänne (inessive singular)
leikkauskäyrissänne (inessive plural)
leikkauskäyrästänne (elative singular)
leikkauskäyristänne (elative plural)
leikkauskäyräänne (illative singular)
leikkauskäyriinne (illative plural)
leikkauskäyrällänne (adessive singular)
leikkauskäyrillänne (adessive plural)
leikkauskäyrältänne (ablative singular)
leikkauskäyriltänne (ablative plural)
leikkauskäyrällenne (allative singular)
leikkauskäyrillenne (allative plural)
leikkauskäyränänne (essive singular)
leikkauskäyrinänne (essive plural)
leikkauskäyräksenne (singular translative)
leikkauskäyriksenne (plural translative)
leikkauskäyrättänne (abessive singular)
leikkauskäyrittänne (abessive plural)
leikkauskäyrinenne (comitative plural)
leikkauskäyränsä (nominative singular)
leikkauskäyränsä (nominative plural)
leikkauskäyränsä (accusative nominative singular)
leikkauskäyränsä (accusative nominative plural)
leikkauskäyränsä (accusative genitive singular)
leikkauskäyränsä (accusative genitive plural)
leikkauskäyränsä (genitive singular)
leikkauskäyriensä (genitive plural)
leikkauskäyräinsä (genitive plural rare)
leikkauskäyräänsä (partitive singular)
leikkauskäyriään (partitive plural)
leikkauskäyriänsä (partitive plural)
leikkauskäyrässään (inessive singular)
leikkauskäyrässänsä (inessive singular)
leikkauskäyrissään (inessive plural)
leikkauskäyrissänsä (inessive plural)
leikkauskäyrästään (elative singular)
leikkauskäyrästänsä (elative singular)
leikkauskäyristään (elative plural)
leikkauskäyristänsä (elative plural)
leikkauskäyräänsä (illative singular)
leikkauskäyriinsä (illative plural)
leikkauskäyrällään (adessive singular)
leikkauskäyrällänsä (adessive singular)
leikkauskäyrillään (adessive plural)
leikkauskäyrillänsä (adessive plural)
leikkauskäyrältään (ablative singular)
leikkauskäyrältänsä (ablative singular)
leikkauskäyriltään (ablative plural)
leikkauskäyriltänsä (ablative plural)
leikkauskäyrälleen (allative singular)
leikkauskäyrällensä (allative singular)
leikkauskäyrilleen (allative plural)
leikkauskäyrillensä (allative plural)
leikkauskäyränään (essive singular)
leikkauskäyränänsä (essive singular)
leikkauskäyrinään (essive plural)
leikkauskäyrinänsä (essive plural)
leikkauskäyräkseen (singular translative)
leikkauskäyräksensä (singular translative)
leikkauskäyrikseen (plural translative)
leikkauskäyriksensä (plural translative)
leikkauskäyrättään (abessive singular)
leikkauskäyrättänsä (abessive singular)
leikkauskäyrittään (abessive plural)
leikkauskäyrittänsä (abessive plural)
leikkauskäyrineen (comitative plural)
leikkauskäyrinensä (comitative plural)

[ˈle̞i̯kːɑ̝us̠ˌk̟æy̯ræ]

leikkaus (“intersection”) + käyrä (“curve”)


vector bundle

Let E and F be two vector bundles on a compact algebraic set X.

1995, Mauro Beltrametti, Andrew John Sommese, The Adjunction Theory of Complex Projective Varieties, Walter de Gruyter, page 8:

2012, Igor Burban, Bernd Kreussler, Vector Bundles on Degenerations of Elliptic Curves and Yang-Baxter Equations, American Mathematical Society, page 5,
This solutions actually depend on the choice of a trivialisation ξ of the universal family 𝒫(n,d) of stable vector bundles of rank n and degree d.

Definition 6.1.5 A non-zero vector bundle #92;mathcal#123;F#125; on X is said to be decomposable if it can be written as #92;mathcal#123;F#125;#95;1#92;oplus#92;mathcal#123;F#125;#95;2 with #92;mathcal#123;F#125;#95;1 and #92;mathcal#123;F#125;#95;2 non-zero vector bundles. Otherwise it is said to be indecomposable.

2017, David J. Benson, Representations of Elementary Abelian p-Groups and Vector Bundles, Cambridge University Press, page 130:

(topology, category theory) A fiber bundle for which the fiber is a vector space.


tangent bundle

(topology) A fiber bundle for which the base space is a differentiable manifold and each fiber over a point of that manifold is the tangent space of that point.


differential structure

en-noun

differential structure (plural differential structures)

differential structures (plural)
differentiable structure (alternative)

First let (M,#92;tau) be a topological space. The sheaf #92;mathfrak#123;G#125; of real continuous functions on (M,#92;tau) is said to be a differential structure on M if for any open set U#92;in#92;tau, any functions f#95;i#92;in#92;mathfrak#123;G#125;(U), and any w#92;inC#92;infty(#92;mathbb#123;R#125;ⁿ), the superposition w#92;circ(f#95;1,#92;dotsf#95;n)#92;in#92;mathfrak#123;G#125;(U).

2002, R.W. Carroll, Calculus Revisited, Springer, pages 12–37:

It is important to emphasise that, among the various choices for #92;lambdaⁱ#95;#123;jk#125; and A#123;i#92;a#125;#95;#123;#92;j#92;b#125;, some are intrinsic to the differential structure of the manifold #92;mathcal#123;M#125;. In other words, among all the operators of D-differentiation, some arise from the differential structure of #92;mathcal#123;M#125;.[…]On the other hand, there exist operators of D-differentiation that do not follow from the differential structure of #92;mathcal#123;M#125;.

2002, Donal J. Hurley, Michael A. Vandyck, Topics in Differential Geometry: A New Approach Using D-Differentiation, Springer (with Praxis Publishing), page 29:

This chapter is concerned with differentiable measures on general measurable spaces and on measurable spaces equipped with certain differential structures enabling us to consider differentiations along vector fields.

2010, Vladimir Igorevich Bogachev, Differentiable Measures and the Malliavin Calculus, American Mathematical Society, page 369:

Given a Hausdorff topological space M with differential structures #92;mathcal#123;A#125;#95;1 and #92;mathcal#123;A#125;#95;2 (these being maximal smooth atlases), we say that #92;mathcal#123;A#125;#95;1 and #92;mathcal#123;A#125;#95;1 are equivalent if there is a diffeomorphism #92;phi#58;(M,#92;mathcal#123;A#125;#95;1)#92;rightarrow(M,#92;mathcal#123;A#125;#95;2) from M with the first differential structure to M with the second differential structure. Note that #92;phi need not be the identity function.

2015, Stephen Bruce Sontz, Principal Bundles: The Classical Case, Springer, page 12:

(topology) A structure defined for a (topological) manifold so that it supports differentiation of functions defined on it.


disjoint union topology

disjoint union topology (plural disjoint union topologies)

The reader will recall that the morphism and object sets of A'#61;#92;coprod#95;#123;p,q#92;inP#125;A#95;c(q,p) were not necessarily given the disjoint union topologies.

1978, Maria Louise Shea Terrell, Topological 2-categories and Principal Topological Categories, University of Virginia, page 19:

Given any indexed collection of topological spaces #92;left#92;#123;X#95;#92;alpha#92;right#92;#125;#95;#123;#92;alpha#92;inA#125;, we define the disjoint union topology on #92;textstyle#92;coprod#95;#123;#92;alpha#92;inA#125;X#95;#92;alpha by declaring a subset of #92;textstyle#92;coprod#95;#123;#92;alpha#92;inA#125;X#95;#92;alpha to be open if and only if its intersection with each X#95;#92;alpha is open in X#95;#92;alpha.

2003, John M. Lee, Introduction to Smooth Manifolds, Springer, page 548:

And the set Gⁿ(#92;mathbb#123;F#125;) of all sub vector spaces of #92;mathbb#123;F#125;ⁿ, i.e. the disjoint union of the Gⁿ#95;k(#92;mathbb#123;F#125;), gets the disjoint union topology.

2005, Friedrich Ischebeck, Ravi A. Rao, Ideals and Reality: Projective Modules and Number of Generators of Ideals, Springer, page 118:

(topology) A topology which is applicable to the disjoint union of a given set of topological spaces and is the largest (most inclusive) topology that preserves the continuity of each contributing space as represented in the union.


緊致

/t͡ɕin²¹⁴⁻²¹ ʈ͡ʂʐ̩⁵¹/

/t͡ɕin²¹⁴⁻²¹ ʈ͡ʂʐ̩⁵¹/


殆複流形

ㄉㄞˋ ㄈㄨˋ ㄌㄧㄡˊ ㄒㄧㄥˊ

ㄉㄞˋ ㄈㄨˋ ㄌㄧㄡˊ ㄒㄧㄥˊ

/taɪ̯⁵¹⁻⁵³ fu⁵¹ li̯oʊ̯³⁵ ɕiŋ³⁵/

/taɪ̯⁵¹⁻⁵³ fu⁵¹ li̯oʊ̯³⁵ ɕiŋ³⁵/


Alexandrov topology

Alexandrov topology (plural Alexandrov topologies)

Along with the closely related concept of Alexandrov-discrete space, after Russian mathematician Pavel Sergeyevich Alexandrov.

4.24. THEOREM. The following three restrictions on a space-time M are equivalent:
(a) M is strongly causal;
(b) the Alexandrov topology agrees with the manifold topology;
(c) the Alexandrov topology is Hausdorff.

1972, Roger Penrose, Techniques of Differential Topology in Relativity, SIAM, page 34:

In Minkowski space-time there is, indeed, a topology definable solely in terms of the causal connectivity among events, the Alexandrov topology, which is provably equivalent to the ordinary manifold topology.

1990, Palle Yourgrau, Demonstratives, Oxford University Press, page 252:

2016, Piero Pagliani, Covering Rough Sets and Formal Topology — A Uniform Approach Through Intensional and Extensional Operators, James F. Peters, Andrzej Skowron (editors), Transactions on Rough Sets XX, Springer, LNCS 10020, page 134,
(6) S_0,2(P(R_C)) is the family of open sets of the Alexandrov topology induced by R_C and S(P(R_C)) is the family of closed sets of the Alexandrov topology induced by R^⌣_C;

(topology) A topology in which the intersection of any family of open sets is an open set.

Alexandrov topology
Pavel Sergeyevich Alexandrov


單純形

ㄉㄢ ㄔㄨㄣˊ ㄒㄧㄥˊ

ㄉㄢ ㄔㄨㄣˊ ㄒㄧㄥˊ

/tän⁵⁵ ʈ͡ʂʰu̯ən³⁵ ɕiŋ³⁵/

/tän⁵⁵ ʈ͡ʂʰu̯ən³⁵ ɕiŋ³⁵/


拓撲空間

ㄊㄨㄛˋ ㄆㄨ ㄎㄨㄥ ㄐㄧㄢ

ㄊㄨㄛˋ ㄆㄨˇ ㄎㄨㄥ ㄐㄧㄢ

ㄊㄨㄛˋ ㄆㄨ ㄎㄨㄥ ㄐㄧㄢ

топу кунцзянь

/tʰu̯ɔ⁵¹ pʰu⁵⁵ kʰʊŋ⁵⁵ t͡ɕi̯ɛn⁵⁵/

топу кунцзянь

/tʰu̯ɔ⁵¹ pʰu²¹⁴⁻²¹ kʰʊŋ⁵⁵ t͡ɕi̯ɛn⁵⁵/

/tʰɔːk̚³ pʰɔːk̚³ hʊŋ⁵⁵ kaːn⁵⁵/

/tʰu̯ɔ⁵¹ pʰu⁵⁵ kʰʊŋ⁵⁵ t͡ɕi̯ɛn⁵⁵/

/tʰu̯ɔ⁵¹ pʰu²¹⁴⁻²¹ kʰʊŋ⁵⁵ t͡ɕi̯ɛn⁵⁵/

/tʰɔːk̚³ pʰɔːk̚³ hʊŋ⁵⁵ kaːn⁵⁵/


子流形

ㄗˇ ㄌㄧㄡˊ ㄒㄧㄥˊ

ㄗˇ ㄌㄧㄡˊ ㄒㄧㄥˊ

/t͡sz̩²¹⁴⁻²¹ li̯oʊ̯³⁵ ɕiŋ³⁵/

/t͡sz̩²¹⁴⁻²¹ li̯oʊ̯³⁵ ɕiŋ³⁵/


topologization

topologizations (plural)
topologisation (alternative)

Many of the topological concepts that will be defined later can be incorporated into methods of topologization in the same general way.

1963, Donald Bushaw, Elements of General Topology, Wiley, page 29:

1968, A. F. Mutylin, An Example of Nontrivial Topologization of the Field of Rational Numbers: Complete Locally Bounded Fields, V. P. Kompaniec (editor), Fourteen Papers on Algebra, Topology, Algebraic and Differential Geometry, American Mathematical Society Translations, Series 2, Volume 73, page 164,
The p-adic topologization also does not coincide with ours and is not stronger than it since any Uₙ contains Pₖ which is an integer and which is relatively prime with p.

The problem on the non-discrete Hausdorff topologization of rings was investigated in a series of works.

2005, Vladimir Arnautov, Kirill Filippov, “On Group Topologies on an Abelian Group Preceding One Another”, in Svetlana Cojocaru, Gerhard Pfister, Victor Ufnarovski, editors, Computational Commutative and Non-commutative Algebraic Geometry, IOS Press, page 251:

(topology) The act or process of topologizing; the result of a process of topologizing, especially the topology so produced.


profinite group

profinite group (plural profinite groups)

profinite groups (plural)
pro-finite group (alternative)

This proposition shows that to have a representation with big image of a profinite group, for example, a Galois group, we need to take a profinite topological ring A as a coefficient ring, like the p-adic integer ring #92;Z#95;p.

2000, Haruzo Hida, Modular Forms and Galois Cohomology, Cambridge University Press, page 28:

We have already pointed out that a profinite group G of an infinite rank m is free of rank m if (and only if) G is projective and every finite split embedding problem for G with a nontrivial kernel has m solutions (Proposition 9.4.7). Dropping the condition on G to be projective leads to the notion of a "quasi-free profinite group" (Section 10.6).

2011, Moshe Jarden, Algebraic Patching, Springer, page 207:

2014, David Barnes, Constanze Roitzheim, Rational equivariant rigidity, Christian Ausoni, Kathryn Hess, Brenda Johnson, Wolfgang Lück, Jérôme Scherer, An Alpine Expedition through Algebraic Topology, American Mathematical Society, page 14,
Recall that a profinite group is an inverse limit of an inverse system of finite groups, with the p-adic numbers being the canonical example. Any finite group is, of course, profinite, but when we talk of a profinite group we assume that the group is infinite.

(topology, category theory) A topological group that is isomorphic to the inverse limit of some inverse system of discrete finite groups; equivalently, a topological group that is also a Stone space.

groupe profini

topological group isomorphic to the inverse limit of an inverse system of discrete finite groups


alikanta

alikanta (nominative singular)
alikannat (nominative plural)
alikanta (accusative nominative singular)
alikannat (accusative nominative plural)
alikannan (accusative genitive singular)
alikannat (accusative genitive plural)
alikannan (genitive singular)
alikantojen (genitive plural)
alikantain (genitive plural rare)
alikantaa (partitive singular)
alikantoja (partitive plural)
alikannassa (inessive singular)
alikannoissa (inessive plural)
alikannasta (elative singular)
alikannoista (elative plural)
alikantaan (illative singular)
alikantoihin (illative plural)
alikannalla (adessive singular)
alikannoilla (adessive plural)
alikannalta (ablative singular)
alikannoilta (ablative plural)
alikannalle (allative singular)
alikannoille (allative plural)
alikantana (essive singular)
alikantoina (essive plural)
alikannaksi (singular translative)
alikannoiksi (plural translative)
alikannatta (abessive singular)
alikannoitta (abessive plural)
alikannoin (instructive plural)
See the possessive forms below. (comitative)
alikantani (nominative singular)
alikantani (nominative plural)
alikantani (accusative nominative singular)
alikantani (accusative nominative plural)
alikantani (accusative genitive singular)
alikantani (accusative genitive plural)
alikantani (genitive singular)
alikantojeni (genitive plural)
alikantaini (genitive plural rare)
alikantaani (partitive singular)
alikantojani (partitive plural)
alikannassani (inessive singular)
alikannoissani (inessive plural)
alikannastani (elative singular)
alikannoistani (elative plural)
alikantaani (illative singular)
alikantoihini (illative plural)
alikannallani (adessive singular)
alikannoillani (adessive plural)
alikannaltani (ablative singular)
alikannoiltani (ablative plural)
alikannalleni (allative singular)
alikannoilleni (allative plural)
alikantanani (essive singular)
alikantoinani (essive plural)
alikannakseni (singular translative)
alikannoikseni (plural translative)
alikannattani (abessive singular)
alikannoittani (abessive plural)
alikantoineni (comitative plural)
alikantasi (nominative singular)
alikantasi (nominative plural)
alikantasi (accusative nominative singular)
alikantasi (accusative nominative plural)
alikantasi (accusative genitive singular)
alikantasi (accusative genitive plural)
alikantasi (genitive singular)
alikantojesi (genitive plural)
alikantaisi (genitive plural rare)
alikantaasi (partitive singular)
alikantojasi (partitive plural)
alikannassasi (inessive singular)
alikannoissasi (inessive plural)
alikannastasi (elative singular)
alikannoistasi (elative plural)
alikantaasi (illative singular)
alikantoihisi (illative plural)
alikannallasi (adessive singular)
alikannoillasi (adessive plural)
alikannaltasi (ablative singular)
alikannoiltasi (ablative plural)
alikannallesi (allative singular)
alikannoillesi (allative plural)
alikantanasi (essive singular)
alikantoinasi (essive plural)
alikannaksesi (singular translative)
alikannoiksesi (plural translative)
alikannattasi (abessive singular)
alikannoittasi (abessive plural)
alikantoinesi (comitative plural)
alikantamme (nominative singular)
alikantamme (nominative plural)
alikantamme (accusative nominative singular)
alikantamme (accusative nominative plural)
alikantamme (accusative genitive singular)
alikantamme (accusative genitive plural)
alikantamme (genitive singular)
alikantojemme (genitive plural)
alikantaimme (genitive plural rare)
alikantaamme (partitive singular)
alikantojamme (partitive plural)
alikannassamme (inessive singular)
alikannoissamme (inessive plural)
alikannastamme (elative singular)
alikannoistamme (elative plural)
alikantaamme (illative singular)
alikantoihimme (illative plural)
alikannallamme (adessive singular)
alikannoillamme (adessive plural)
alikannaltamme (ablative singular)
alikannoiltamme (ablative plural)
alikannallemme (allative singular)
alikannoillemme (allative plural)
alikantanamme (essive singular)
alikantoinamme (essive plural)
alikannaksemme (singular translative)
alikannoiksemme (plural translative)
alikannattamme (abessive singular)
alikannoittamme (abessive plural)
alikantoinemme (comitative plural)
alikantanne (nominative singular)
alikantanne (nominative plural)
alikantanne (accusative nominative singular)
alikantanne (accusative nominative plural)
alikantanne (accusative genitive singular)
alikantanne (accusative genitive plural)
alikantanne (genitive singular)
alikantojenne (genitive plural)
alikantainne (genitive plural rare)
alikantaanne (partitive singular)
alikantojanne (partitive plural)
alikannassanne (inessive singular)
alikannoissanne (inessive plural)
alikannastanne (elative singular)
alikannoistanne (elative plural)
alikantaanne (illative singular)
alikantoihinne (illative plural)
alikannallanne (adessive singular)
alikannoillanne (adessive plural)
alikannaltanne (ablative singular)
alikannoiltanne (ablative plural)
alikannallenne (allative singular)
alikannoillenne (allative plural)
alikantananne (essive singular)
alikantoinanne (essive plural)
alikannaksenne (singular translative)
alikannoiksenne (plural translative)
alikannattanne (abessive singular)
alikannoittanne (abessive plural)
alikantoinenne (comitative plural)
alikantansa (nominative singular)
alikantansa (nominative plural)
alikantansa (accusative nominative singular)
alikantansa (accusative nominative plural)
alikantansa (accusative genitive singular)
alikantansa (accusative genitive plural)
alikantansa (genitive singular)
alikantojensa (genitive plural)
alikantainsa (genitive plural rare)
alikantaansa (partitive singular)
alikantojaan (partitive plural)
alikantojansa (partitive plural)
alikannassaan (inessive singular)
alikannassansa (inessive singular)
alikannoissaan (inessive plural)
alikannoissansa (inessive plural)
alikannastaan (elative singular)
alikannastansa (elative singular)
alikannoistaan (elative plural)
alikannoistansa (elative plural)
alikantaansa (illative singular)
alikantoihinsa (illative plural)
alikannallaan (adessive singular)
alikannallansa (adessive singular)
alikannoillaan (adessive plural)
alikannoillansa (adessive plural)
alikannaltaan (ablative singular)
alikannaltansa (ablative singular)
alikannoiltaan (ablative plural)
alikannoiltansa (ablative plural)
alikannalleen (allative singular)
alikannallensa (allative singular)
alikannoilleen (allative plural)
alikannoillensa (allative plural)
alikantanaan (essive singular)
alikantanansa (essive singular)
alikantoinaan (essive plural)
alikantoinansa (essive plural)
alikannakseen (singular translative)
alikannaksensa (singular translative)
alikannoikseen (plural translative)
alikannoiksensa (plural translative)
alikannattaan (abessive singular)
alikannattansa (abessive singular)
alikannoittaan (abessive plural)
alikannoittansa (abessive plural)
alikantoineen (comitative plural)
alikantoinensa (comitative plural)

[ˈɑ̝liˌkɑ̝n̪t̪ɑ̝]


kasautumispiste

kasautumispiste (nominative singular)
kasautumispisteet (nominative plural)
kasautumispiste (accusative nominative singular)
kasautumispisteet (accusative nominative plural)
kasautumispisteen (accusative genitive singular)
kasautumispisteet (accusative genitive plural)
kasautumispisteen (genitive singular)
kasautumispisteiden (genitive plural)
kasautumispisteitten (genitive plural)
kasautumispistettä (partitive singular)
kasautumispisteitä (partitive plural)
kasautumispisteessä (inessive singular)
kasautumispisteissä (inessive plural)
kasautumispisteestä (elative singular)
kasautumispisteistä (elative plural)
kasautumispisteeseen (illative singular)
kasautumispisteisiin (illative plural)
kasautumispisteihin (illative plural)
kasautumispisteellä (adessive singular)
kasautumispisteillä (adessive plural)
kasautumispisteeltä (ablative singular)
kasautumispisteiltä (ablative plural)
kasautumispisteelle (allative singular)
kasautumispisteille (allative plural)
kasautumispisteenä (essive singular)
kasautumispisteinä (essive plural)
kasautumispisteeksi (singular translative)
kasautumispisteiksi (plural translative)
kasautumispisteettä (abessive singular)
kasautumispisteittä (abessive plural)
kasautumispistein (instructive plural)
See the possessive forms below. (comitative)
kasautumispisteeni (nominative singular)
kasautumispisteeni (nominative plural)
kasautumispisteeni (accusative nominative singular)
kasautumispisteeni (accusative nominative plural)
kasautumispisteeni (accusative genitive singular)
kasautumispisteeni (accusative genitive plural)
kasautumispisteeni (genitive singular)
kasautumispisteideni (genitive plural)
kasautumispisteitteni (genitive plural)
kasautumispistettäni (partitive singular)
kasautumispisteitäni (partitive plural)
kasautumispisteessäni (inessive singular)
kasautumispisteissäni (inessive plural)
kasautumispisteestäni (elative singular)
kasautumispisteistäni (elative plural)
kasautumispisteeseeni (illative singular)
kasautumispisteisiini (illative plural)
kasautumispisteihini (illative plural)
kasautumispisteelläni (adessive singular)
kasautumispisteilläni (adessive plural)
kasautumispisteeltäni (ablative singular)
kasautumispisteiltäni (ablative plural)
kasautumispisteelleni (allative singular)
kasautumispisteilleni (allative plural)
kasautumispisteenäni (essive singular)
kasautumispisteinäni (essive plural)
kasautumispisteekseni (singular translative)
kasautumispisteikseni (plural translative)
kasautumispisteettäni (abessive singular)
kasautumispisteittäni (abessive plural)
kasautumispisteineni (comitative plural)
kasautumispisteesi (nominative singular)
kasautumispisteesi (nominative plural)
kasautumispisteesi (accusative nominative singular)
kasautumispisteesi (accusative nominative plural)
kasautumispisteesi (accusative genitive singular)
kasautumispisteesi (accusative genitive plural)
kasautumispisteesi (genitive singular)
kasautumispisteidesi (genitive plural)
kasautumispisteittesi (genitive plural)
kasautumispistettäsi (partitive singular)
kasautumispisteitäsi (partitive plural)
kasautumispisteessäsi (inessive singular)
kasautumispisteissäsi (inessive plural)
kasautumispisteestäsi (elative singular)
kasautumispisteistäsi (elative plural)
kasautumispisteeseesi (illative singular)
kasautumispisteisiisi (illative plural)
kasautumispisteihisi (illative plural)
kasautumispisteelläsi (adessive singular)
kasautumispisteilläsi (adessive plural)
kasautumispisteeltäsi (ablative singular)
kasautumispisteiltäsi (ablative plural)
kasautumispisteellesi (allative singular)
kasautumispisteillesi (allative plural)
kasautumispisteenäsi (essive singular)
kasautumispisteinäsi (essive plural)
kasautumispisteeksesi (singular translative)
kasautumispisteiksesi (plural translative)
kasautumispisteettäsi (abessive singular)
kasautumispisteittäsi (abessive plural)
kasautumispisteinesi (comitative plural)
kasautumispisteemme (nominative singular)
kasautumispisteemme (nominative plural)
kasautumispisteemme (accusative nominative singular)
kasautumispisteemme (accusative nominative plural)
kasautumispisteemme (accusative genitive singular)
kasautumispisteemme (accusative genitive plural)
kasautumispisteemme (genitive singular)
kasautumispisteidemme (genitive plural)
kasautumispisteittemme (genitive plural)
kasautumispistettämme (partitive singular)
kasautumispisteitämme (partitive plural)
kasautumispisteessämme (inessive singular)
kasautumispisteissämme (inessive plural)
kasautumispisteestämme (elative singular)
kasautumispisteistämme (elative plural)
kasautumispisteeseemme (illative singular)
kasautumispisteisiimme (illative plural)
kasautumispisteihimme (illative plural)
kasautumispisteellämme (adessive singular)
kasautumispisteillämme (adessive plural)
kasautumispisteeltämme (ablative singular)
kasautumispisteiltämme (ablative plural)
kasautumispisteellemme (allative singular)
kasautumispisteillemme (allative plural)
kasautumispisteenämme (essive singular)
kasautumispisteinämme (essive plural)
kasautumispisteeksemme (singular translative)
kasautumispisteiksemme (plural translative)
kasautumispisteettämme (abessive singular)
kasautumispisteittämme (abessive plural)
kasautumispisteinemme (comitative plural)
kasautumispisteenne (nominative singular)
kasautumispisteenne (nominative plural)
kasautumispisteenne (accusative nominative singular)
kasautumispisteenne (accusative nominative plural)
kasautumispisteenne (accusative genitive singular)
kasautumispisteenne (accusative genitive plural)
kasautumispisteenne (genitive singular)
kasautumispisteidenne (genitive plural)
kasautumispisteittenne (genitive plural)
kasautumispistettänne (partitive singular)
kasautumispisteitänne (partitive plural)
kasautumispisteessänne (inessive singular)
kasautumispisteissänne (inessive plural)
kasautumispisteestänne (elative singular)
kasautumispisteistänne (elative plural)
kasautumispisteeseenne (illative singular)
kasautumispisteisiinne (illative plural)
kasautumispisteihinne (illative plural)
kasautumispisteellänne (adessive singular)
kasautumispisteillänne (adessive plural)
kasautumispisteeltänne (ablative singular)
kasautumispisteiltänne (ablative plural)
kasautumispisteellenne (allative singular)
kasautumispisteillenne (allative plural)
kasautumispisteenänne (essive singular)
kasautumispisteinänne (essive plural)
kasautumispisteeksenne (singular translative)
kasautumispisteiksenne (plural translative)
kasautumispisteettänne (abessive singular)
kasautumispisteittänne (abessive plural)
kasautumispisteinenne (comitative plural)
kasautumispisteensä (nominative singular)
kasautumispisteensä (nominative plural)
kasautumispisteensä (accusative nominative singular)
kasautumispisteensä (accusative nominative plural)
kasautumispisteensä (accusative genitive singular)
kasautumispisteensä (accusative genitive plural)
kasautumispisteensä (genitive singular)
kasautumispisteidensä (genitive plural)
kasautumispisteittensä (genitive plural)
kasautumispistettään (partitive singular)
kasautumispistettänsä (partitive singular)
kasautumispisteitään (partitive plural)
kasautumispisteitänsä (partitive plural)
kasautumispisteessään (inessive singular)
kasautumispisteessänsä (inessive singular)
kasautumispisteissään (inessive plural)
kasautumispisteissänsä (inessive plural)
kasautumispisteestään (elative singular)
kasautumispisteestänsä (elative singular)
kasautumispisteistään (elative plural)
kasautumispisteistänsä (elative plural)
kasautumispisteeseensä (illative singular)
kasautumispisteisiinsä (illative plural)
kasautumispisteihinsä (illative plural)
kasautumispisteellään (adessive singular)
kasautumispisteellänsä (adessive singular)
kasautumispisteillään (adessive plural)
kasautumispisteillänsä (adessive plural)
kasautumispisteeltään (ablative singular)
kasautumispisteeltänsä (ablative singular)
kasautumispisteiltään (ablative plural)
kasautumispisteiltänsä (ablative plural)
kasautumispisteelleen (allative singular)
kasautumispisteellensä (allative singular)
kasautumispisteilleen (allative plural)
kasautumispisteillensä (allative plural)
kasautumispisteenään (essive singular)
kasautumispisteenänsä (essive singular)
kasautumispisteinään (essive plural)
kasautumispisteinänsä (essive plural)
kasautumispisteekseen (singular translative)
kasautumispisteeksensä (singular translative)
kasautumispisteikseen (plural translative)
kasautumispisteiksensä (plural translative)
kasautumispisteettään (abessive singular)
kasautumispisteettänsä (abessive singular)
kasautumispisteittään (abessive plural)
kasautumispisteittänsä (abessive plural)
kasautumispisteineen (comitative plural)
kasautumispisteinensä (comitative plural)


erakkopiste

erakkopiste (nominative singular)
erakkopisteet (nominative plural)
erakkopiste (accusative nominative singular)
erakkopisteet (accusative nominative plural)
erakkopisteen (accusative genitive singular)
erakkopisteet (accusative genitive plural)
erakkopisteen (genitive singular)
erakkopisteiden (genitive plural)
erakkopisteitten (genitive plural)
erakkopistettä (partitive singular)
erakkopisteitä (partitive plural)
erakkopisteessä (inessive singular)
erakkopisteissä (inessive plural)
erakkopisteestä (elative singular)
erakkopisteistä (elative plural)
erakkopisteeseen (illative singular)
erakkopisteisiin (illative plural)
erakkopisteihin (illative plural)
erakkopisteellä (adessive singular)
erakkopisteillä (adessive plural)
erakkopisteeltä (ablative singular)
erakkopisteiltä (ablative plural)
erakkopisteelle (allative singular)
erakkopisteille (allative plural)
erakkopisteenä (essive singular)
erakkopisteinä (essive plural)
erakkopisteeksi (singular translative)
erakkopisteiksi (plural translative)
erakkopisteettä (abessive singular)
erakkopisteittä (abessive plural)
erakkopistein (instructive plural)
See the possessive forms below. (comitative)
erakkopisteeni (nominative singular)
erakkopisteeni (nominative plural)
erakkopisteeni (accusative nominative singular)
erakkopisteeni (accusative nominative plural)
erakkopisteeni (accusative genitive singular)
erakkopisteeni (accusative genitive plural)
erakkopisteeni (genitive singular)
erakkopisteideni (genitive plural)
erakkopisteitteni (genitive plural)
erakkopistettäni (partitive singular)
erakkopisteitäni (partitive plural)
erakkopisteessäni (inessive singular)
erakkopisteissäni (inessive plural)
erakkopisteestäni (elative singular)
erakkopisteistäni (elative plural)
erakkopisteeseeni (illative singular)
erakkopisteisiini (illative plural)
erakkopisteihini (illative plural)
erakkopisteelläni (adessive singular)
erakkopisteilläni (adessive plural)
erakkopisteeltäni (ablative singular)
erakkopisteiltäni (ablative plural)
erakkopisteelleni (allative singular)
erakkopisteilleni (allative plural)
erakkopisteenäni (essive singular)
erakkopisteinäni (essive plural)
erakkopisteekseni (singular translative)
erakkopisteikseni (plural translative)
erakkopisteettäni (abessive singular)
erakkopisteittäni (abessive plural)
erakkopisteineni (comitative plural)
erakkopisteesi (nominative singular)
erakkopisteesi (nominative plural)
erakkopisteesi (accusative nominative singular)
erakkopisteesi (accusative nominative plural)
erakkopisteesi (accusative genitive singular)
erakkopisteesi (accusative genitive plural)
erakkopisteesi (genitive singular)
erakkopisteidesi (genitive plural)
erakkopisteittesi (genitive plural)
erakkopistettäsi (partitive singular)
erakkopisteitäsi (partitive plural)
erakkopisteessäsi (inessive singular)
erakkopisteissäsi (inessive plural)
erakkopisteestäsi (elative singular)
erakkopisteistäsi (elative plural)
erakkopisteeseesi (illative singular)
erakkopisteisiisi (illative plural)
erakkopisteihisi (illative plural)
erakkopisteelläsi (adessive singular)
erakkopisteilläsi (adessive plural)
erakkopisteeltäsi (ablative singular)
erakkopisteiltäsi (ablative plural)
erakkopisteellesi (allative singular)
erakkopisteillesi (allative plural)
erakkopisteenäsi (essive singular)
erakkopisteinäsi (essive plural)
erakkopisteeksesi (singular translative)
erakkopisteiksesi (plural translative)
erakkopisteettäsi (abessive singular)
erakkopisteittäsi (abessive plural)
erakkopisteinesi (comitative plural)
erakkopisteemme (nominative singular)
erakkopisteemme (nominative plural)
erakkopisteemme (accusative nominative singular)
erakkopisteemme (accusative nominative plural)
erakkopisteemme (accusative genitive singular)
erakkopisteemme (accusative genitive plural)
erakkopisteemme (genitive singular)
erakkopisteidemme (genitive plural)
erakkopisteittemme (genitive plural)
erakkopistettämme (partitive singular)
erakkopisteitämme (partitive plural)
erakkopisteessämme (inessive singular)
erakkopisteissämme (inessive plural)
erakkopisteestämme (elative singular)
erakkopisteistämme (elative plural)
erakkopisteeseemme (illative singular)
erakkopisteisiimme (illative plural)
erakkopisteihimme (illative plural)
erakkopisteellämme (adessive singular)
erakkopisteillämme (adessive plural)
erakkopisteeltämme (ablative singular)
erakkopisteiltämme (ablative plural)
erakkopisteellemme (allative singular)
erakkopisteillemme (allative plural)
erakkopisteenämme (essive singular)
erakkopisteinämme (essive plural)
erakkopisteeksemme (singular translative)
erakkopisteiksemme (plural translative)
erakkopisteettämme (abessive singular)
erakkopisteittämme (abessive plural)
erakkopisteinemme (comitative plural)
erakkopisteenne (nominative singular)
erakkopisteenne (nominative plural)
erakkopisteenne (accusative nominative singular)
erakkopisteenne (accusative nominative plural)
erakkopisteenne (accusative genitive singular)
erakkopisteenne (accusative genitive plural)
erakkopisteenne (genitive singular)
erakkopisteidenne (genitive plural)
erakkopisteittenne (genitive plural)
erakkopistettänne (partitive singular)
erakkopisteitänne (partitive plural)
erakkopisteessänne (inessive singular)
erakkopisteissänne (inessive plural)
erakkopisteestänne (elative singular)
erakkopisteistänne (elative plural)
erakkopisteeseenne (illative singular)
erakkopisteisiinne (illative plural)
erakkopisteihinne (illative plural)
erakkopisteellänne (adessive singular)
erakkopisteillänne (adessive plural)
erakkopisteeltänne (ablative singular)
erakkopisteiltänne (ablative plural)
erakkopisteellenne (allative singular)
erakkopisteillenne (allative plural)
erakkopisteenänne (essive singular)
erakkopisteinänne (essive plural)
erakkopisteeksenne (singular translative)
erakkopisteiksenne (plural translative)
erakkopisteettänne (abessive singular)
erakkopisteittänne (abessive plural)
erakkopisteinenne (comitative plural)
erakkopisteensä (nominative singular)
erakkopisteensä (nominative plural)
erakkopisteensä (accusative nominative singular)
erakkopisteensä (accusative nominative plural)
erakkopisteensä (accusative genitive singular)
erakkopisteensä (accusative genitive plural)
erakkopisteensä (genitive singular)
erakkopisteidensä (genitive plural)
erakkopisteittensä (genitive plural)
erakkopistettään (partitive singular)
erakkopistettänsä (partitive singular)
erakkopisteitään (partitive plural)
erakkopisteitänsä (partitive plural)
erakkopisteessään (inessive singular)
erakkopisteessänsä (inessive singular)
erakkopisteissään (inessive plural)
erakkopisteissänsä (inessive plural)
erakkopisteestään (elative singular)
erakkopisteestänsä (elative singular)
erakkopisteistään (elative plural)
erakkopisteistänsä (elative plural)
erakkopisteeseensä (illative singular)
erakkopisteisiinsä (illative plural)
erakkopisteihinsä (illative plural)
erakkopisteellään (adessive singular)
erakkopisteellänsä (adessive singular)
erakkopisteillään (adessive plural)
erakkopisteillänsä (adessive plural)
erakkopisteeltään (ablative singular)
erakkopisteeltänsä (ablative singular)
erakkopisteiltään (ablative plural)
erakkopisteiltänsä (ablative plural)
erakkopisteelleen (allative singular)
erakkopisteellensä (allative singular)
erakkopisteilleen (allative plural)
erakkopisteillensä (allative plural)
erakkopisteenään (essive singular)
erakkopisteenänsä (essive singular)
erakkopisteinään (essive plural)
erakkopisteinänsä (essive plural)
erakkopisteekseen (singular translative)
erakkopisteeksensä (singular translative)
erakkopisteikseen (plural translative)
erakkopisteiksensä (plural translative)
erakkopisteettään (abessive singular)
erakkopisteettänsä (abessive singular)
erakkopisteittään (abessive plural)
erakkopisteittänsä (abessive plural)
erakkopisteineen (comitative plural)
erakkopisteinensä (comitative plural)


reunapiste

reunapiste (nominative singular)
reunapisteet (nominative plural)
reunapiste (accusative nominative singular)
reunapisteet (accusative nominative plural)
reunapisteen (accusative genitive singular)
reunapisteet (accusative genitive plural)
reunapisteen (genitive singular)
reunapisteiden (genitive plural)
reunapisteitten (genitive plural)
reunapistettä (partitive singular)
reunapisteitä (partitive plural)
reunapisteessä (inessive singular)
reunapisteissä (inessive plural)
reunapisteestä (elative singular)
reunapisteistä (elative plural)
reunapisteeseen (illative singular)
reunapisteisiin (illative plural)
reunapisteihin (illative plural)
reunapisteellä (adessive singular)
reunapisteillä (adessive plural)
reunapisteeltä (ablative singular)
reunapisteiltä (ablative plural)
reunapisteelle (allative singular)
reunapisteille (allative plural)
reunapisteenä (essive singular)
reunapisteinä (essive plural)
reunapisteeksi (singular translative)
reunapisteiksi (plural translative)
reunapisteettä (abessive singular)
reunapisteittä (abessive plural)
reunapistein (instructive plural)
See the possessive forms below. (comitative)
reunapisteeni (nominative singular)
reunapisteeni (nominative plural)
reunapisteeni (accusative nominative singular)
reunapisteeni (accusative nominative plural)
reunapisteeni (accusative genitive singular)
reunapisteeni (accusative genitive plural)
reunapisteeni (genitive singular)
reunapisteideni (genitive plural)
reunapisteitteni (genitive plural)
reunapistettäni (partitive singular)
reunapisteitäni (partitive plural)
reunapisteessäni (inessive singular)
reunapisteissäni (inessive plural)
reunapisteestäni (elative singular)
reunapisteistäni (elative plural)
reunapisteeseeni (illative singular)
reunapisteisiini (illative plural)
reunapisteihini (illative plural)
reunapisteelläni (adessive singular)
reunapisteilläni (adessive plural)
reunapisteeltäni (ablative singular)
reunapisteiltäni (ablative plural)
reunapisteelleni (allative singular)
reunapisteilleni (allative plural)
reunapisteenäni (essive singular)
reunapisteinäni (essive plural)
reunapisteekseni (singular translative)
reunapisteikseni (plural translative)
reunapisteettäni (abessive singular)
reunapisteittäni (abessive plural)
reunapisteineni (comitative plural)
reunapisteesi (nominative singular)
reunapisteesi (nominative plural)
reunapisteesi (accusative nominative singular)
reunapisteesi (accusative nominative plural)
reunapisteesi (accusative genitive singular)
reunapisteesi (accusative genitive plural)
reunapisteesi (genitive singular)
reunapisteidesi (genitive plural)
reunapisteittesi (genitive plural)
reunapistettäsi (partitive singular)
reunapisteitäsi (partitive plural)
reunapisteessäsi (inessive singular)
reunapisteissäsi (inessive plural)
reunapisteestäsi (elative singular)
reunapisteistäsi (elative plural)
reunapisteeseesi (illative singular)
reunapisteisiisi (illative plural)
reunapisteihisi (illative plural)
reunapisteelläsi (adessive singular)
reunapisteilläsi (adessive plural)
reunapisteeltäsi (ablative singular)
reunapisteiltäsi (ablative plural)
reunapisteellesi (allative singular)
reunapisteillesi (allative plural)
reunapisteenäsi (essive singular)
reunapisteinäsi (essive plural)
reunapisteeksesi (singular translative)
reunapisteiksesi (plural translative)
reunapisteettäsi (abessive singular)
reunapisteittäsi (abessive plural)
reunapisteinesi (comitative plural)
reunapisteemme (nominative singular)
reunapisteemme (nominative plural)
reunapisteemme (accusative nominative singular)
reunapisteemme (accusative nominative plural)
reunapisteemme (accusative genitive singular)
reunapisteemme (accusative genitive plural)
reunapisteemme (genitive singular)
reunapisteidemme (genitive plural)
reunapisteittemme (genitive plural)
reunapistettämme (partitive singular)
reunapisteitämme (partitive plural)
reunapisteessämme (inessive singular)
reunapisteissämme (inessive plural)
reunapisteestämme (elative singular)
reunapisteistämme (elative plural)
reunapisteeseemme (illative singular)
reunapisteisiimme (illative plural)
reunapisteihimme (illative plural)
reunapisteellämme (adessive singular)
reunapisteillämme (adessive plural)
reunapisteeltämme (ablative singular)
reunapisteiltämme (ablative plural)
reunapisteellemme (allative singular)
reunapisteillemme (allative plural)
reunapisteenämme (essive singular)
reunapisteinämme (essive plural)
reunapisteeksemme (singular translative)
reunapisteiksemme (plural translative)
reunapisteettämme (abessive singular)
reunapisteittämme (abessive plural)
reunapisteinemme (comitative plural)
reunapisteenne (nominative singular)
reunapisteenne (nominative plural)
reunapisteenne (accusative nominative singular)
reunapisteenne (accusative nominative plural)
reunapisteenne (accusative genitive singular)
reunapisteenne (accusative genitive plural)
reunapisteenne (genitive singular)
reunapisteidenne (genitive plural)
reunapisteittenne (genitive plural)
reunapistettänne (partitive singular)
reunapisteitänne (partitive plural)
reunapisteessänne (inessive singular)
reunapisteissänne (inessive plural)
reunapisteestänne (elative singular)
reunapisteistänne (elative plural)
reunapisteeseenne (illative singular)
reunapisteisiinne (illative plural)
reunapisteihinne (illative plural)
reunapisteellänne (adessive singular)
reunapisteillänne (adessive plural)
reunapisteeltänne (ablative singular)
reunapisteiltänne (ablative plural)
reunapisteellenne (allative singular)
reunapisteillenne (allative plural)
reunapisteenänne (essive singular)
reunapisteinänne (essive plural)
reunapisteeksenne (singular translative)
reunapisteiksenne (plural translative)
reunapisteettänne (abessive singular)
reunapisteittänne (abessive plural)
reunapisteinenne (comitative plural)
reunapisteensä (nominative singular)
reunapisteensä (nominative plural)
reunapisteensä (accusative nominative singular)
reunapisteensä (accusative nominative plural)
reunapisteensä (accusative genitive singular)
reunapisteensä (accusative genitive plural)
reunapisteensä (genitive singular)
reunapisteidensä (genitive plural)
reunapisteittensä (genitive plural)
reunapistettään (partitive singular)
reunapistettänsä (partitive singular)
reunapisteitään (partitive plural)
reunapisteitänsä (partitive plural)
reunapisteessään (inessive singular)
reunapisteessänsä (inessive singular)
reunapisteissään (inessive plural)
reunapisteissänsä (inessive plural)
reunapisteestään (elative singular)
reunapisteestänsä (elative singular)
reunapisteistään (elative plural)
reunapisteistänsä (elative plural)
reunapisteeseensä (illative singular)
reunapisteisiinsä (illative plural)
reunapisteihinsä (illative plural)
reunapisteellään (adessive singular)
reunapisteellänsä (adessive singular)
reunapisteillään (adessive plural)
reunapisteillänsä (adessive plural)
reunapisteeltään (ablative singular)
reunapisteeltänsä (ablative singular)
reunapisteiltään (ablative plural)
reunapisteiltänsä (ablative plural)
reunapisteelleen (allative singular)
reunapisteellensä (allative singular)
reunapisteilleen (allative plural)
reunapisteillensä (allative plural)
reunapisteenään (essive singular)
reunapisteenänsä (essive singular)
reunapisteinään (essive plural)
reunapisteinänsä (essive plural)
reunapisteekseen (singular translative)
reunapisteeksensä (singular translative)
reunapisteikseen (plural translative)
reunapisteiksensä (plural translative)
reunapisteettään (abessive singular)
reunapisteettänsä (abessive singular)
reunapisteittään (abessive plural)
reunapisteittänsä (abessive plural)
reunapisteineen (comitative plural)
reunapisteinensä (comitative plural)


tekijäavaruus

tekijäavaruus (nominative singular)
tekijäavaruudet (nominative plural)
tekijäavaruus (accusative nominative singular)
tekijäavaruudet (accusative nominative plural)
tekijäavaruuden (accusative genitive singular)
tekijäavaruudet (accusative genitive plural)
tekijäavaruuden (genitive singular)
tekijäavaruuksien (genitive plural)
tekijäavaruutta (partitive singular)
tekijäavaruuksia (partitive plural)
tekijäavaruudessa (inessive singular)
tekijäavaruuksissa (inessive plural)
tekijäavaruudesta (elative singular)
tekijäavaruuksista (elative plural)
tekijäavaruuteen (illative singular)
tekijäavaruuksiin (illative plural)
tekijäavaruudella (adessive singular)
tekijäavaruuksilla (adessive plural)
tekijäavaruudelta (ablative singular)
tekijäavaruuksilta (ablative plural)
tekijäavaruudelle (allative singular)
tekijäavaruuksille (allative plural)
tekijäavaruutena (essive singular)
tekijäavaruuksina (essive plural)
tekijäavaruudeksi (singular translative)
tekijäavaruuksiksi (plural translative)
tekijäavaruudetta (abessive singular)
tekijäavaruuksitta (abessive plural)
tekijäavaruuksin (instructive plural)
See the possessive forms below. (comitative)
tekijäavaruuteni (nominative singular)
tekijäavaruuteni (nominative plural)
tekijäavaruuteni (accusative nominative singular)
tekijäavaruuteni (accusative nominative plural)
tekijäavaruuteni (accusative genitive singular)
tekijäavaruuteni (accusative genitive plural)
tekijäavaruuteni (genitive singular)
tekijäavaruuksieni (genitive plural)
tekijäavaruuttani (partitive singular)
tekijäavaruuksiani (partitive plural)
tekijäavaruudessani (inessive singular)
tekijäavaruuksissani (inessive plural)
tekijäavaruudestani (elative singular)
tekijäavaruuksistani (elative plural)
tekijäavaruuteeni (illative singular)
tekijäavaruuksiini (illative plural)
tekijäavaruudellani (adessive singular)
tekijäavaruuksillani (adessive plural)
tekijäavaruudeltani (ablative singular)
tekijäavaruuksiltani (ablative plural)
tekijäavaruudelleni (allative singular)
tekijäavaruuksilleni (allative plural)
tekijäavaruutenani (essive singular)
tekijäavaruuksinani (essive plural)
tekijäavaruudekseni (singular translative)
tekijäavaruuksikseni (plural translative)
tekijäavaruudettani (abessive singular)
tekijäavaruuksittani (abessive plural)
tekijäavaruuksineni (comitative plural)
tekijäavaruutesi (nominative singular)
tekijäavaruutesi (nominative plural)
tekijäavaruutesi (accusative nominative singular)
tekijäavaruutesi (accusative nominative plural)
tekijäavaruutesi (accusative genitive singular)
tekijäavaruutesi (accusative genitive plural)
tekijäavaruutesi (genitive singular)
tekijäavaruuksiesi (genitive plural)
tekijäavaruuttasi (partitive singular)
tekijäavaruuksiasi (partitive plural)
tekijäavaruudessasi (inessive singular)
tekijäavaruuksissasi (inessive plural)
tekijäavaruudestasi (elative singular)
tekijäavaruuksistasi (elative plural)
tekijäavaruuteesi (illative singular)
tekijäavaruuksiisi (illative plural)
tekijäavaruudellasi (adessive singular)
tekijäavaruuksillasi (adessive plural)
tekijäavaruudeltasi (ablative singular)
tekijäavaruuksiltasi (ablative plural)
tekijäavaruudellesi (allative singular)
tekijäavaruuksillesi (allative plural)
tekijäavaruutenasi (essive singular)
tekijäavaruuksinasi (essive plural)
tekijäavaruudeksesi (singular translative)
tekijäavaruuksiksesi (plural translative)
tekijäavaruudettasi (abessive singular)
tekijäavaruuksittasi (abessive plural)
tekijäavaruuksinesi (comitative plural)
tekijäavaruutemme (nominative singular)
tekijäavaruutemme (nominative plural)
tekijäavaruutemme (accusative nominative singular)
tekijäavaruutemme (accusative nominative plural)
tekijäavaruutemme (accusative genitive singular)
tekijäavaruutemme (accusative genitive plural)
tekijäavaruutemme (genitive singular)
tekijäavaruuksiemme (genitive plural)
tekijäavaruuttamme (partitive singular)
tekijäavaruuksiamme (partitive plural)
tekijäavaruudessamme (inessive singular)
tekijäavaruuksissamme (inessive plural)
tekijäavaruudestamme (elative singular)
tekijäavaruuksistamme (elative plural)
tekijäavaruuteemme (illative singular)
tekijäavaruuksiimme (illative plural)
tekijäavaruudellamme (adessive singular)
tekijäavaruuksillamme (adessive plural)
tekijäavaruudeltamme (ablative singular)
tekijäavaruuksiltamme (ablative plural)
tekijäavaruudellemme (allative singular)
tekijäavaruuksillemme (allative plural)
tekijäavaruutenamme (essive singular)
tekijäavaruuksinamme (essive plural)
tekijäavaruudeksemme (singular translative)
tekijäavaruuksiksemme (plural translative)
tekijäavaruudettamme (abessive singular)
tekijäavaruuksittamme (abessive plural)
tekijäavaruuksinemme (comitative plural)
tekijäavaruutenne (nominative singular)
tekijäavaruutenne (nominative plural)
tekijäavaruutenne (accusative nominative singular)
tekijäavaruutenne (accusative nominative plural)
tekijäavaruutenne (accusative genitive singular)
tekijäavaruutenne (accusative genitive plural)
tekijäavaruutenne (genitive singular)
tekijäavaruuksienne (genitive plural)
tekijäavaruuttanne (partitive singular)
tekijäavaruuksianne (partitive plural)
tekijäavaruudessanne (inessive singular)
tekijäavaruuksissanne (inessive plural)
tekijäavaruudestanne (elative singular)
tekijäavaruuksistanne (elative plural)
tekijäavaruuteenne (illative singular)
tekijäavaruuksiinne (illative plural)
tekijäavaruudellanne (adessive singular)
tekijäavaruuksillanne (adessive plural)
tekijäavaruudeltanne (ablative singular)
tekijäavaruuksiltanne (ablative plural)
tekijäavaruudellenne (allative singular)
tekijäavaruuksillenne (allative plural)
tekijäavaruutenanne (essive singular)
tekijäavaruuksinanne (essive plural)
tekijäavaruudeksenne (singular translative)
tekijäavaruuksiksenne (plural translative)
tekijäavaruudettanne (abessive singular)
tekijäavaruuksittanne (abessive plural)
tekijäavaruuksinenne (comitative plural)
tekijäavaruutensa (nominative singular)
tekijäavaruutensa (nominative plural)
tekijäavaruutensa (accusative nominative singular)
tekijäavaruutensa (accusative nominative plural)
tekijäavaruutensa (accusative genitive singular)
tekijäavaruutensa (accusative genitive plural)
tekijäavaruutensa (genitive singular)
tekijäavaruuksiensa (genitive plural)
tekijäavaruuttaan (partitive singular)
tekijäavaruuttansa (partitive singular)
tekijäavaruuksiaan (partitive plural)
tekijäavaruuksiansa (partitive plural)
tekijäavaruudessaan (inessive singular)
tekijäavaruudessansa (inessive singular)
tekijäavaruuksissaan (inessive plural)
tekijäavaruuksissansa (inessive plural)
tekijäavaruudestaan (elative singular)
tekijäavaruudestansa (elative singular)
tekijäavaruuksistaan (elative plural)
tekijäavaruuksistansa (elative plural)
tekijäavaruuteensa (illative singular)
tekijäavaruuksiinsa (illative plural)
tekijäavaruudellaan (adessive singular)
tekijäavaruudellansa (adessive singular)
tekijäavaruuksillaan (adessive plural)
tekijäavaruuksillansa (adessive plural)
tekijäavaruudeltaan (ablative singular)
tekijäavaruudeltansa (ablative singular)
tekijäavaruuksiltaan (ablative plural)
tekijäavaruuksiltansa (ablative plural)
tekijäavaruudelleen (allative singular)
tekijäavaruudellensa (allative singular)
tekijäavaruuksilleen (allative plural)
tekijäavaruuksillensa (allative plural)
tekijäavaruutenaan (essive singular)
tekijäavaruutenansa (essive singular)
tekijäavaruuksinaan (essive plural)
tekijäavaruuksinansa (essive plural)
tekijäavaruudekseen (singular translative)
tekijäavaruudeksensa (singular translative)
tekijäavaruuksikseen (plural translative)
tekijäavaruuksiksensa (plural translative)
tekijäavaruudettaan (abessive singular)
tekijäavaruudettansa (abessive singular)
tekijäavaruuksittaan (abessive plural)
tekijäavaruuksittansa (abessive plural)
tekijäavaruuksineen (comitative plural)
tekijäavaruuksinensa (comitative plural)

[ˈt̪e̞k̟ijæˌɑ̝ʋɑ̝ruːs̠]


vektorikimppu

vektorikimppu (nominative singular)
vektorikimput (nominative plural)
vektorikimppu (accusative nominative singular)
vektorikimput (accusative nominative plural)
vektorikimpun (accusative genitive singular)
vektorikimput (accusative genitive plural)
vektorikimpun (genitive singular)
vektorikimppujen (genitive plural)
vektorikimppua (partitive singular)
vektorikimppuja (partitive plural)
vektorikimpussa (inessive singular)
vektorikimpuissa (inessive plural)
vektorikimpusta (elative singular)
vektorikimpuista (elative plural)
vektorikimppuun (illative singular)
vektorikimppuihin (illative plural)
vektorikimpulla (adessive singular)
vektorikimpuilla (adessive plural)
vektorikimpulta (ablative singular)
vektorikimpuilta (ablative plural)
vektorikimpulle (allative singular)
vektorikimpuille (allative plural)
vektorikimppuna (essive singular)
vektorikimppuina (essive plural)
vektorikimpuksi (singular translative)
vektorikimpuiksi (plural translative)
vektorikimputta (abessive singular)
vektorikimpuitta (abessive plural)
vektorikimpuin (instructive plural)
See the possessive forms below. (comitative)
vektorikimppuni (nominative singular)
vektorikimppuni (nominative plural)
vektorikimppuni (accusative nominative singular)
vektorikimppuni (accusative nominative plural)
vektorikimppuni (accusative genitive singular)
vektorikimppuni (accusative genitive plural)
vektorikimppuni (genitive singular)
vektorikimppujeni (genitive plural)
vektorikimppuani (partitive singular)
vektorikimppujani (partitive plural)
vektorikimpussani (inessive singular)
vektorikimpuissani (inessive plural)
vektorikimpustani (elative singular)
vektorikimpuistani (elative plural)
vektorikimppuuni (illative singular)
vektorikimppuihini (illative plural)
vektorikimpullani (adessive singular)
vektorikimpuillani (adessive plural)
vektorikimpultani (ablative singular)
vektorikimpuiltani (ablative plural)
vektorikimpulleni (allative singular)
vektorikimpuilleni (allative plural)
vektorikimppunani (essive singular)
vektorikimppuinani (essive plural)
vektorikimpukseni (singular translative)
vektorikimpuikseni (plural translative)
vektorikimputtani (abessive singular)
vektorikimpuittani (abessive plural)
vektorikimppuineni (comitative plural)
vektorikimppusi (nominative singular)
vektorikimppusi (nominative plural)
vektorikimppusi (accusative nominative singular)
vektorikimppusi (accusative nominative plural)
vektorikimppusi (accusative genitive singular)
vektorikimppusi (accusative genitive plural)
vektorikimppusi (genitive singular)
vektorikimppujesi (genitive plural)
vektorikimppuasi (partitive singular)
vektorikimppujasi (partitive plural)
vektorikimpussasi (inessive singular)
vektorikimpuissasi (inessive plural)
vektorikimpustasi (elative singular)
vektorikimpuistasi (elative plural)
vektorikimppuusi (illative singular)
vektorikimppuihisi (illative plural)
vektorikimpullasi (adessive singular)
vektorikimpuillasi (adessive plural)
vektorikimpultasi (ablative singular)
vektorikimpuiltasi (ablative plural)
vektorikimpullesi (allative singular)
vektorikimpuillesi (allative plural)
vektorikimppunasi (essive singular)
vektorikimppuinasi (essive plural)
vektorikimpuksesi (singular translative)
vektorikimpuiksesi (plural translative)
vektorikimputtasi (abessive singular)
vektorikimpuittasi (abessive plural)
vektorikimppuinesi (comitative plural)
vektorikimppumme (nominative singular)
vektorikimppumme (nominative plural)
vektorikimppumme (accusative nominative singular)
vektorikimppumme (accusative nominative plural)
vektorikimppumme (accusative genitive singular)
vektorikimppumme (accusative genitive plural)
vektorikimppumme (genitive singular)
vektorikimppujemme (genitive plural)
vektorikimppuamme (partitive singular)
vektorikimppujamme (partitive plural)
vektorikimpussamme (inessive singular)
vektorikimpuissamme (inessive plural)
vektorikimpustamme (elative singular)
vektorikimpuistamme (elative plural)
vektorikimppuumme (illative singular)
vektorikimppuihimme (illative plural)
vektorikimpullamme (adessive singular)
vektorikimpuillamme (adessive plural)
vektorikimpultamme (ablative singular)
vektorikimpuiltamme (ablative plural)
vektorikimpullemme (allative singular)
vektorikimpuillemme (allative plural)
vektorikimppunamme (essive singular)
vektorikimppuinamme (essive plural)
vektorikimpuksemme (singular translative)
vektorikimpuiksemme (plural translative)
vektorikimputtamme (abessive singular)
vektorikimpuittamme (abessive plural)
vektorikimppuinemme (comitative plural)
vektorikimppunne (nominative singular)
vektorikimppunne (nominative plural)
vektorikimppunne (accusative nominative singular)
vektorikimppunne (accusative nominative plural)
vektorikimppunne (accusative genitive singular)
vektorikimppunne (accusative genitive plural)
vektorikimppunne (genitive singular)
vektorikimppujenne (genitive plural)
vektorikimppuanne (partitive singular)
vektorikimppujanne (partitive plural)
vektorikimpussanne (inessive singular)
vektorikimpuissanne (inessive plural)
vektorikimpustanne (elative singular)
vektorikimpuistanne (elative plural)
vektorikimppuunne (illative singular)
vektorikimppuihinne (illative plural)
vektorikimpullanne (adessive singular)
vektorikimpuillanne (adessive plural)
vektorikimpultanne (ablative singular)
vektorikimpuiltanne (ablative plural)
vektorikimpullenne (allative singular)
vektorikimpuillenne (allative plural)
vektorikimppunanne (essive singular)
vektorikimppuinanne (essive plural)
vektorikimpuksenne (singular translative)
vektorikimpuiksenne (plural translative)
vektorikimputtanne (abessive singular)
vektorikimpuittanne (abessive plural)
vektorikimppuinenne (comitative plural)
vektorikimppunsa (nominative singular)
vektorikimppunsa (nominative plural)
vektorikimppunsa (accusative nominative singular)
vektorikimppunsa (accusative nominative plural)
vektorikimppunsa (accusative genitive singular)
vektorikimppunsa (accusative genitive plural)
vektorikimppunsa (genitive singular)
vektorikimppujensa (genitive plural)
vektorikimppuaan (partitive singular)
vektorikimppuansa (partitive singular)
vektorikimppujaan (partitive plural)
vektorikimppujansa (partitive plural)
vektorikimpussaan (inessive singular)
vektorikimpussansa (inessive singular)
vektorikimpuissaan (inessive plural)
vektorikimpuissansa (inessive plural)
vektorikimpustaan (elative singular)
vektorikimpustansa (elative singular)
vektorikimpuistaan (elative plural)
vektorikimpuistansa (elative plural)
vektorikimppuunsa (illative singular)
vektorikimppuihinsa (illative plural)
vektorikimpullaan (adessive singular)
vektorikimpullansa (adessive singular)
vektorikimpuillaan (adessive plural)
vektorikimpuillansa (adessive plural)
vektorikimpultaan (ablative singular)
vektorikimpultansa (ablative singular)
vektorikimpuiltaan (ablative plural)
vektorikimpuiltansa (ablative plural)
vektorikimpulleen (allative singular)
vektorikimpullensa (allative singular)
vektorikimpuilleen (allative plural)
vektorikimpuillensa (allative plural)
vektorikimppunaan (essive singular)
vektorikimppunansa (essive singular)
vektorikimppuinaan (essive plural)
vektorikimppuinansa (essive plural)
vektorikimpukseen (singular translative)
vektorikimpuksensa (singular translative)
vektorikimpuikseen (plural translative)
vektorikimpuiksensa (plural translative)
vektorikimputtaan (abessive singular)
vektorikimputtansa (abessive singular)
vektorikimpuittaan (abessive plural)
vektorikimpuittansa (abessive plural)
vektorikimppuineen (comitative plural)
vektorikimppuinensa (comitative plural)

(topology, category theory) vector bundle


geometric analysis

Papers are submitted for publication by sending three hard (printed) copies to The Journal of Geometric Analysis, Department of Mathematics, Washington University,[…].

1999, The Journal of Geometric Analysis, volume 9, CRC Press, page 273:

2013, Mohammad Ghomi, Junfang Li, John McCuan, Vladimir Oliker, Fernando Schwartz, Gilbert Weindtein (editors) Geometric Analysis, Mathematical Relativity, and Nonlinear Partial Differential Equations, American Mathematical Society.

In 2012, thematic programs on Geometric Analysis and Spectral Theory and on Moduli spaces, Extremality and Global Invariants were held at the CRM. There were several workshops on cutting-edge topics in geometric analysis and spectral theory, notably on the Geometry of Eigenvalues and Eigenfunctions, on Manifolds of Metrics and Probabilistic Methods in Geometry and Analysis and on Spectral invariants on non-compact and singular spaces.

2014, Pierre Albin, Dmitry Jakobson, Frédéric Rochon, “Preface”, in Geometric and Spectral Analysis, American Mathematical Society, page vii:

differential geometry
differential geometry

partial differential equation
partial differential equation

(mathematical analysis, geometry, topology) A branch of mathematics in which techniques from differential geometry are used in the analysis and solution of partial differential equations, and vice versa.


jonokompakti

jonokompakti (nominative singular)
jonokompaktit (nominative plural)
jonokompakti (accusative nominative singular)
jonokompaktit (accusative nominative plural)
jonokompaktin (accusative genitive singular)
jonokompaktit (accusative genitive plural)
jonokompaktin (genitive singular)
jonokompaktien (genitive plural)
jonokompaktia (partitive singular)
jonokompakteja (partitive plural)
jonokompaktissa (inessive singular)
jonokompakteissa (inessive plural)
jonokompaktista (elative singular)
jonokompakteista (elative plural)
jonokompaktiin (illative singular)
jonokompakteihin (illative plural)
jonokompaktilla (adessive singular)
jonokompakteilla (adessive plural)
jonokompaktilta (ablative singular)
jonokompakteilta (ablative plural)
jonokompaktille (allative singular)
jonokompakteille (allative plural)
jonokompaktina (essive singular)
jonokompakteina (essive plural)
jonokompaktiksi (singular translative)
jonokompakteiksi (plural translative)
jonokompaktitta (abessive singular)
jonokompakteitta (abessive plural)
jonokompaktein (instructive plural)
jonokompakteine (comitative plural)
jonokompaktini (nominative singular)
jonokompaktini (nominative plural)
jonokompaktini (accusative nominative singular)
jonokompaktini (accusative nominative plural)
jonokompaktini (accusative genitive singular)
jonokompaktini (accusative genitive plural)
jonokompaktini (genitive singular)
jonokompaktieni (genitive plural)
jonokompaktiani (partitive singular)
jonokompaktejani (partitive plural)
jonokompaktissani (inessive singular)
jonokompakteissani (inessive plural)
jonokompaktistani (elative singular)
jonokompakteistani (elative plural)
jonokompaktiini (illative singular)
jonokompakteihini (illative plural)
jonokompaktillani (adessive singular)
jonokompakteillani (adessive plural)
jonokompaktiltani (ablative singular)
jonokompakteiltani (ablative plural)
jonokompaktilleni (allative singular)
jonokompakteilleni (allative plural)
jonokompaktinani (essive singular)
jonokompakteinani (essive plural)
jonokompaktikseni (singular translative)
jonokompakteikseni (plural translative)
jonokompaktittani (abessive singular)
jonokompakteittani (abessive plural)
jonokompakteineni (comitative plural)
jonokompaktisi (nominative singular)
jonokompaktisi (nominative plural)
jonokompaktisi (accusative nominative singular)
jonokompaktisi (accusative nominative plural)
jonokompaktisi (accusative genitive singular)
jonokompaktisi (accusative genitive plural)
jonokompaktisi (genitive singular)
jonokompaktiesi (genitive plural)
jonokompaktiasi (partitive singular)
jonokompaktejasi (partitive plural)
jonokompaktissasi (inessive singular)
jonokompakteissasi (inessive plural)
jonokompaktistasi (elative singular)
jonokompakteistasi (elative plural)
jonokompaktiisi (illative singular)
jonokompakteihisi (illative plural)
jonokompaktillasi (adessive singular)
jonokompakteillasi (adessive plural)
jonokompaktiltasi (ablative singular)
jonokompakteiltasi (ablative plural)
jonokompaktillesi (allative singular)
jonokompakteillesi (allative plural)
jonokompaktinasi (essive singular)
jonokompakteinasi (essive plural)
jonokompaktiksesi (singular translative)
jonokompakteiksesi (plural translative)
jonokompaktittasi (abessive singular)
jonokompakteittasi (abessive plural)
jonokompakteinesi (comitative plural)
jonokompaktimme (nominative singular)
jonokompaktimme (nominative plural)
jonokompaktimme (accusative nominative singular)
jonokompaktimme (accusative nominative plural)
jonokompaktimme (accusative genitive singular)
jonokompaktimme (accusative genitive plural)
jonokompaktimme (genitive singular)
jonokompaktiemme (genitive plural)
jonokompaktiamme (partitive singular)
jonokompaktejamme (partitive plural)
jonokompaktissamme (inessive singular)
jonokompakteissamme (inessive plural)
jonokompaktistamme (elative singular)
jonokompakteistamme (elative plural)
jonokompaktiimme (illative singular)
jonokompakteihimme (illative plural)
jonokompaktillamme (adessive singular)
jonokompakteillamme (adessive plural)
jonokompaktiltamme (ablative singular)
jonokompakteiltamme (ablative plural)
jonokompaktillemme (allative singular)
jonokompakteillemme (allative plural)
jonokompaktinamme (essive singular)
jonokompakteinamme (essive plural)
jonokompaktiksemme (singular translative)
jonokompakteiksemme (plural translative)
jonokompaktittamme (abessive singular)
jonokompakteittamme (abessive plural)
jonokompakteinemme (comitative plural)
jonokompaktinne (nominative singular)
jonokompaktinne (nominative plural)
jonokompaktinne (accusative nominative singular)
jonokompaktinne (accusative nominative plural)
jonokompaktinne (accusative genitive singular)
jonokompaktinne (accusative genitive plural)
jonokompaktinne (genitive singular)
jonokompaktienne (genitive plural)
jonokompaktianne (partitive singular)
jonokompaktejanne (partitive plural)
jonokompaktissanne (inessive singular)
jonokompakteissanne (inessive plural)
jonokompaktistanne (elative singular)
jonokompakteistanne (elative plural)
jonokompaktiinne (illative singular)
jonokompakteihinne (illative plural)
jonokompaktillanne (adessive singular)
jonokompakteillanne (adessive plural)
jonokompaktiltanne (ablative singular)
jonokompakteiltanne (ablative plural)
jonokompaktillenne (allative singular)
jonokompakteillenne (allative plural)
jonokompaktinanne (essive singular)
jonokompakteinanne (essive plural)
jonokompaktiksenne (singular translative)
jonokompakteiksenne (plural translative)
jonokompaktittanne (abessive singular)
jonokompakteittanne (abessive plural)
jonokompakteinenne (comitative plural)
jonokompaktinsa (nominative singular)
jonokompaktinsa (nominative plural)
jonokompaktinsa (accusative nominative singular)
jonokompaktinsa (accusative nominative plural)
jonokompaktinsa (accusative genitive singular)
jonokompaktinsa (accusative genitive plural)
jonokompaktinsa (genitive singular)
jonokompaktiensa (genitive plural)
jonokompaktiaan (partitive singular)
jonokompaktiansa (partitive singular)
jonokompaktejaan (partitive plural)
jonokompaktejansa (partitive plural)
jonokompaktissaan (inessive singular)
jonokompaktissansa (inessive singular)
jonokompakteissaan (inessive plural)
jonokompakteissansa (inessive plural)
jonokompaktistaan (elative singular)
jonokompaktistansa (elative singular)
jonokompakteistaan (elative plural)
jonokompakteistansa (elative plural)
jonokompaktiinsa (illative singular)
jonokompakteihinsa (illative plural)
jonokompaktillaan (adessive singular)
jonokompaktillansa (adessive singular)
jonokompakteillaan (adessive plural)
jonokompakteillansa (adessive plural)
jonokompaktiltaan (ablative singular)
jonokompaktiltansa (ablative singular)
jonokompakteiltaan (ablative plural)
jonokompakteiltansa (ablative plural)
jonokompaktilleen (allative singular)
jonokompaktillensa (allative singular)
jonokompakteilleen (allative plural)
jonokompakteillensa (allative plural)
jonokompaktinaan (essive singular)
jonokompaktinansa (essive singular)
jonokompakteinaan (essive plural)
jonokompakteinansa (essive plural)
jonokompaktikseen (singular translative)
jonokompaktiksensa (singular translative)
jonokompakteikseen (plural translative)
jonokompakteiksensa (plural translative)
jonokompaktittaan (abessive singular)
jonokompaktittansa (abessive singular)
jonokompakteittaan (abessive plural)
jonokompakteittansa (abessive plural)
jonokompakteineen (comitative plural)
jonokompakteinensa (comitative plural)