"homology" meaning in English

See homology in All languages combined, or Wiktionary

Noun

Audio: LL-Q1860 (eng)-Flame, not lame-homology.wav Forms: homologies [plural]
Etymology: From homo- + -logy. In topology, first used by French polymath Henri Poincaré, in the sense (close to what is now called a bordism) of a relation between manifolds mapped into a reference manifold: that is, the property of such manifolds that they form the boundary of a higher-dimensional manifold inside the reference manifold. Poincaré's version was eventually replaced by the more general singular homology, which is what mathematicians now mean by homology. Etymology templates: {{confix|en|homo|logy}} homo- + -logy Head templates: {{en-noun|~}} homology (countable and uncountable, plural homologies)
  1. The relationship of being homologous; a homologous relationship.
    (geometry, projective geometry) specifically, such relationship in the context of the geometry of perspective.
    Tags: countable, uncountable Categories (topical): Geometry
    Sense id: en-homology-en-noun-2iJVXsGh Topics: geometry, mathematics, sciences
  2. The relationship of being homologous; a homologous relationship.
    (geometry, projective geometry) An automorphism of the projective plane (representing a perspective projection) that leaves all the points of some straight line (the homology axis) fixed and maps all the lines through some single point (the homology centre) onto themselves.
    Tags: countable, uncountable Categories (topical): Geometry Translations (geometry: automorphism representing a perspective projection): samankaltaisuus (Finnish), homologia (Finnish), homalógacht [feminine] (Irish), homologia [feminine] (Portuguese), omologie [feminine] (Romanian)
    Sense id: en-homology-en-noun-BU1O5xFM Categories (other): English entries with incorrect language header, English terms suffixed with -logy, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 2 15 11 12 9 16 6 10 11 9 Disambiguation of English terms suffixed with -logy: 2 13 11 15 9 15 6 9 10 10 Disambiguation of Pages with 1 entry: 2 14 10 15 9 15 6 9 10 9 Disambiguation of Pages with entries: 1 15 11 14 9 16 5 9 11 9 Topics: geometry, mathematics, sciences Disambiguation of 'geometry: automorphism representing a perspective projection': 23 49 5 10 2 3 2 2 2 2
  3. The relationship of being homologous; a homologous relationship.
    (topology, algebraic topology) A general way of associating a sequence of algebraic objects, such as abelian groups or modules, to a sequence of topological spaces; also used attributively: see Usage notes below.
    Tags: countable, uncountable Categories (topical): Algebraic topology, Topology Translations (algebraic topology: way of associating a sequence of groups to a sequence of topological spaces): 同调 (tóngdiào) (Chinese Mandarin), 同调论 (tóngdiàolùn) (Chinese Mandarin), homologia (Finnish), homalógacht [feminine] (Irish), homologia [feminine] (Portuguese)
    Sense id: en-homology-en-noun-SD5eDIYf Categories (other): English entries with incorrect language header, English terms suffixed with -logy, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 2 15 11 12 9 16 6 10 11 9 Disambiguation of English terms suffixed with -logy: 2 13 11 15 9 15 6 9 10 10 Disambiguation of Pages with 1 entry: 2 14 10 15 9 15 6 9 10 9 Disambiguation of Pages with entries: 1 15 11 14 9 16 5 9 11 9 Topics: algebraic-topology, mathematics, sciences, topology Disambiguation of 'algebraic topology: way of associating a sequence of groups to a sequence of topological spaces': 3 10 32 13 6 10 4 6 7 9
  4. The relationship of being homologous; a homologous relationship.
    (algebra) Given a chain complex {Gₙ} and its associated set of homomorphisms {Hₙ}, the rule which explains how each Hₙ maps Gₙ into the kernel of Gₙ₊₁.
    Tags: countable, uncountable Categories (topical): Algebra Translations (algebra: rule by which each member of a chain complex maps into the kernel of the next): 同调 (tóngdiào) (Chinese Mandarin), 同调群 (tóngdiàoqún) (Chinese Mandarin), homologia (Finnish), homalógacht [feminine] (Irish), homologia [feminine] (Portuguese)
    Sense id: en-homology-en-noun-MfXX6Vff Categories (other): English entries with incorrect language header, English terms prefixed with homo-, English terms suffixed with -logy, Entries with translation boxes, Pages with 1 entry, Pages with entries, Terms with Czech translations, Terms with Finnish translations, Terms with French translations, Terms with German translations, Terms with Irish translations, Terms with Italian translations, Terms with Mandarin translations, Terms with Portuguese translations, Terms with Romanian translations, Terms with Slovene translations, Terms with Spanish translations Disambiguation of English entries with incorrect language header: 2 15 11 12 9 16 6 10 11 9 Disambiguation of English terms prefixed with homo-: 6 10 8 16 8 12 9 11 10 10 Disambiguation of English terms suffixed with -logy: 2 13 11 15 9 15 6 9 10 10 Disambiguation of Entries with translation boxes: 1 11 11 22 6 12 4 7 8 16 Disambiguation of Pages with 1 entry: 2 14 10 15 9 15 6 9 10 9 Disambiguation of Pages with entries: 1 15 11 14 9 16 5 9 11 9 Disambiguation of Terms with Czech translations: 3 11 9 19 6 12 7 10 9 12 Disambiguation of Terms with Finnish translations: 2 11 11 19 7 13 5 9 9 14 Disambiguation of Terms with French translations: 2 11 10 19 8 14 6 8 9 11 Disambiguation of Terms with German translations: 2 11 11 19 7 13 5 8 9 13 Disambiguation of Terms with Irish translations: 2 13 10 20 7 13 5 9 9 11 Disambiguation of Terms with Italian translations: 2 12 12 20 7 14 5 8 9 11 Disambiguation of Terms with Mandarin translations: 3 11 9 18 8 13 7 10 10 10 Disambiguation of Terms with Portuguese translations: 2 11 10 18 8 14 6 10 9 12 Disambiguation of Terms with Romanian translations: 2 12 10 19 7 14 6 9 9 12 Disambiguation of Terms with Slovene translations: 2 12 10 20 7 13 5 9 9 12 Disambiguation of Terms with Spanish translations: 1 12 11 22 7 14 5 8 10 10 Topics: algebra, mathematics, sciences Disambiguation of 'algebra: rule by which each member of a chain complex maps into the kernel of the next': 3 11 9 35 6 10 4 7 7 8
  5. The relationship of being homologous; a homologous relationship.
    (chemistry) The relationship, between elements, of being in the same group of the periodic table.
    Tags: countable, uncountable Categories (topical): Chemistry Translations (chemistry: relationship of being in the same group of the periodic table): homologia (Finnish), homologie (French), homalógacht [feminine] (Irish), omologia (Italian), homologia (Portuguese), homología (Spanish)
    Sense id: en-homology-en-noun-sHeR8Lvx Topics: chemistry, natural-sciences, physical-sciences Disambiguation of 'chemistry: relationship of being in the same group of the periodic table': 5 6 5 5 27 19 5 6 14 7
  6. The relationship of being homologous; a homologous relationship.
    (organic chemistry) The relationship, between organic compounds, of being in the same homologous series.
    Tags: countable, uncountable Categories (topical): Organic chemistry Translations (organic chemistry: relationship of being in the same homologous series): homologia (Finnish), homologie (French), homalógacht [feminine] (Irish), omologia (Italian), homologia (Portuguese), homología (Spanish)
    Sense id: en-homology-en-noun-yyiEPATw Categories (other): English entries with incorrect language header, English terms suffixed with -logy, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 2 15 11 12 9 16 6 10 11 9 Disambiguation of English terms suffixed with -logy: 2 13 11 15 9 15 6 9 10 10 Disambiguation of Pages with 1 entry: 2 14 10 15 9 15 6 9 10 9 Disambiguation of Pages with entries: 1 15 11 14 9 16 5 9 11 9 Topics: chemistry, natural-sciences, organic-chemistry, physical-sciences Disambiguation of 'organic chemistry: relationship of being in the same homologous series': 6 6 7 6 14 28 7 7 12 7
  7. The relationship of being homologous; a homologous relationship.
    (biology, psychology) The relationship, between characteristics or behaviours, of having a shared evolutionary or developmental origin;
    Tags: countable, uncountable Categories (topical): Biology, Evolutionary theory, Psychology
    Sense id: en-homology-en-noun-en:biology Topics: biology, human-sciences, natural-sciences, psychology, sciences
  8. The relationship of being homologous; a homologous relationship.
    (biology, psychology) The relationship, between characteristics or behaviours, of having a shared evolutionary or developmental origin;
    Tags: countable, uncountable Categories (topical): Biology, Evolutionary theory, Psychology
    Sense id: en-homology-en-noun-en:biology1 Topics: biology, human-sciences, natural-sciences, psychology, sciences
  9. The relationship of being homologous; a homologous relationship.
    (genetics) The presence of the same series of bases in different but related genes.
    Tags: countable, uncountable Categories (topical): Genetics Translations (genetics: presence of the same series of bases in related genes): homologia (Finnish), homologie (French), homalógacht [feminine] (Irish), omologia (Italian), homologia (Portuguese), homología (Spanish)
    Sense id: en-homology-en-noun-eu7lG6AR Categories (other): English entries with incorrect language header, English terms suffixed with -logy, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 2 15 11 12 9 16 6 10 11 9 Disambiguation of English terms suffixed with -logy: 2 13 11 15 9 15 6 9 10 10 Disambiguation of Pages with 1 entry: 2 14 10 15 9 15 6 9 10 9 Disambiguation of Pages with entries: 1 15 11 14 9 16 5 9 11 9 Topics: biology, genetics, medicine, natural-sciences, sciences Disambiguation of 'genetics: presence of the same series of bases in related genes': 3 7 5 6 14 17 4 6 31 6
  10. The relationship of being homologous; a homologous relationship.
    (anthropology) The relationship, between temporally separated human beliefs, practices or artefacts, of possessing shared characteristics attributed to genetic or historical links to a common ancestor.
    Tags: countable, uncountable Categories (topical): Anthropology
    Sense id: en-homology-en-noun-54M6VJGw Topics: anthropology, human-sciences, sciences
The following are not (yet) sense-disambiguated
Related terms: analogy, homolog, homologue, homologation, homological, homothety, homotopy Translations (biology, psychology: relationship of having a common evolutionary or developmental origin): homologia (Finnish), homalógacht [feminine] (Irish), omologie (Romanian) Translations (homologous relationship): samankaltaisuus (Finnish), homologia (Finnish), homalógacht [feminine] (Irish), homologia [feminine] (Portuguese), omologie [feminine] (Romanian)
Derived forms: axis of homology, center of homology, centre of homology, cohomology, Floer homology, homology axis, homology center, homology centre, homology group, homology modeling, homology modelling, homology sphere, hyperbolic homology, Khovanov homology, microhomology, parabolic homology, semihomology, sequence homology, singular homology Disambiguation of 'biology, psychology: relationship of having a common evolutionary or developmental origin': 6 6 6 6 6 7 21 25 7 8 Disambiguation of 'homologous relationship': 10 10 10 10 10 10 10 10 10 10

Inflected forms

{
  "derived": [
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "axis of homology"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "center of homology"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "centre of homology"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "cohomology"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "Floer homology"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "homology axis"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "homology center"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "homology centre"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "homology group"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "homology modeling"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "homology modelling"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "homology sphere"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "hyperbolic homology"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "Khovanov homology"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "microhomology"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "parabolic homology"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "semihomology"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "sequence homology"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "singular homology"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "homo",
        "3": "logy"
      },
      "expansion": "homo- + -logy",
      "name": "confix"
    }
  ],
  "etymology_text": "From homo- + -logy.\nIn topology, first used by French polymath Henri Poincaré, in the sense (close to what is now called a bordism) of a relation between manifolds mapped into a reference manifold: that is, the property of such manifolds that they form the boundary of a higher-dimensional manifold inside the reference manifold. Poincaré's version was eventually replaced by the more general singular homology, which is what mathematicians now mean by homology.",
  "forms": [
    {
      "form": "homologies",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "~"
      },
      "expansion": "homology (countable and uncountable, plural homologies)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "analogy"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "homolog"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "homologue"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "homologation"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "homological"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "homothety"
    },
    {
      "_dis1": "0 0 0 0 0 0 0 0 0 0",
      "word": "homotopy"
    }
  ],
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Geometry",
          "orig": "en:Geometry",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "1863, George Salmon, A Treatise on Conic Sections, Longman, Brown, Green, Longman, and Roberts, 4th Edition, page 61,\nTwo triangles are said to be homologous, when the intersections of the corresponding sides lie on the same right line called the axis of homology: prove that the lines joining the corresponding vertices meet in a point [called the centre of homology]."
        },
        {
          "text": "1885, Charles Leudesdorf (translator), Luigi Cremona, Elements of Projective Geometry, Oxford University Press (Clarendon Press), page 11,\nTwo corresponding straight lines therefore always intersect on a fixed straight line, which we may call s; thus the given figures are in homology, O being the centre, and s the axis, of homology."
        }
      ],
      "glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "specifically, such relationship in the context of the geometry of perspective."
      ],
      "id": "en-homology-en-noun-2iJVXsGh",
      "links": [
        [
          "homologous",
          "homologous"
        ],
        [
          "geometry",
          "geometry"
        ],
        [
          "perspective",
          "perspective"
        ]
      ],
      "qualifier": "projective geometry",
      "raw_glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "(geometry, projective geometry) specifically, such relationship in the context of the geometry of perspective."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Geometry",
          "orig": "en:Geometry",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "2 15 11 12 9 16 6 10 11 9",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "2 13 11 15 9 15 6 9 10 10",
          "kind": "other",
          "name": "English terms suffixed with -logy",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "2 14 10 15 9 15 6 9 10 9",
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "1 15 11 14 9 16 5 9 11 9",
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "examples": [
        {
          "text": "If the homology centre lies on the homology axis, the homology is said to be singular or parabolic; otherwise, it is called non-singular or hyperbolic.",
          "type": "example"
        }
      ],
      "glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "An automorphism of the projective plane (representing a perspective projection) that leaves all the points of some straight line (the homology axis) fixed and maps all the lines through some single point (the homology centre) onto themselves."
      ],
      "id": "en-homology-en-noun-BU1O5xFM",
      "links": [
        [
          "homologous",
          "homologous"
        ],
        [
          "geometry",
          "geometry"
        ],
        [
          "automorphism",
          "automorphism"
        ],
        [
          "projective plane",
          "projective plane"
        ],
        [
          "perspective projection",
          "perspective projection"
        ],
        [
          "homology axis",
          "homology axis"
        ],
        [
          "homology centre",
          "homology centre"
        ]
      ],
      "qualifier": "projective geometry",
      "raw_glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "(geometry, projective geometry) An automorphism of the projective plane (representing a perspective projection) that leaves all the points of some straight line (the homology axis) fixed and maps all the lines through some single point (the homology centre) onto themselves."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "_dis1": "23 49 5 10 2 3 2 2 2 2",
          "code": "fi",
          "lang": "Finnish",
          "sense": "geometry: automorphism representing a perspective projection",
          "word": "samankaltaisuus"
        },
        {
          "_dis1": "23 49 5 10 2 3 2 2 2 2",
          "code": "fi",
          "lang": "Finnish",
          "sense": "geometry: automorphism representing a perspective projection",
          "word": "homologia"
        },
        {
          "_dis1": "23 49 5 10 2 3 2 2 2 2",
          "code": "ga",
          "lang": "Irish",
          "sense": "geometry: automorphism representing a perspective projection",
          "tags": [
            "feminine"
          ],
          "word": "homalógacht"
        },
        {
          "_dis1": "23 49 5 10 2 3 2 2 2 2",
          "code": "pt",
          "lang": "Portuguese",
          "sense": "geometry: automorphism representing a perspective projection",
          "tags": [
            "feminine"
          ],
          "word": "homologia"
        },
        {
          "_dis1": "23 49 5 10 2 3 2 2 2 2",
          "code": "ro",
          "lang": "Romanian",
          "sense": "geometry: automorphism representing a perspective projection",
          "tags": [
            "feminine"
          ],
          "word": "omologie"
        }
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Algebraic topology",
          "orig": "en:Algebraic topology",
          "parents": [
            "Algebra",
            "Topology",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Topology",
          "orig": "en:Topology",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "2 15 11 12 9 16 6 10 11 9",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "2 13 11 15 9 15 6 9 10 10",
          "kind": "other",
          "name": "English terms suffixed with -logy",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "2 14 10 15 9 15 6 9 10 9",
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "1 15 11 14 9 16 5 9 11 9",
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "examples": [
        {
          "ref": "2000, Sibe Mardešić, Strong Shape and Homology, Springer, page v:",
          "text": "One encounters a similar situation in homology theory. Beside singular homology, which is a homotopy invariant, and Čech homology, which is a shape invariant, there exists strong homology, which is a strong shape invariant. In the special case of metric compacta, this homology was introduced by N.E. Steenrod in 1940 and is often referred to as the Steenrod homology.",
          "type": "quote"
        },
        {
          "ref": "2002, Nikolai Saveliev, Invariants of Homology 3-Spheres, Springer, page 2:",
          "text": "Brieskorn homology spheres are a special case of Siefert fibered homology spheres.",
          "type": "quote"
        }
      ],
      "glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "A general way of associating a sequence of algebraic objects, such as abelian groups or modules, to a sequence of topological spaces; also used attributively: see Usage notes below."
      ],
      "id": "en-homology-en-noun-SD5eDIYf",
      "links": [
        [
          "homologous",
          "homologous"
        ],
        [
          "topology",
          "topology"
        ],
        [
          "algebraic topology",
          "algebraic topology"
        ],
        [
          "abelian group",
          "abelian group"
        ],
        [
          "module",
          "module"
        ],
        [
          "topological space",
          "topological space"
        ]
      ],
      "raw_glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "(topology, algebraic topology) A general way of associating a sequence of algebraic objects, such as abelian groups or modules, to a sequence of topological spaces; also used attributively: see Usage notes below."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "algebraic-topology",
        "mathematics",
        "sciences",
        "topology"
      ],
      "translations": [
        {
          "_dis1": "3 10 32 13 6 10 4 6 7 9",
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "tóngdiào",
          "sense": "algebraic topology: way of associating a sequence of groups to a sequence of topological spaces",
          "word": "同调"
        },
        {
          "_dis1": "3 10 32 13 6 10 4 6 7 9",
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "tóngdiàolùn",
          "sense": "algebraic topology: way of associating a sequence of groups to a sequence of topological spaces",
          "word": "同调论"
        },
        {
          "_dis1": "3 10 32 13 6 10 4 6 7 9",
          "code": "fi",
          "lang": "Finnish",
          "sense": "algebraic topology: way of associating a sequence of groups to a sequence of topological spaces",
          "word": "homologia"
        },
        {
          "_dis1": "3 10 32 13 6 10 4 6 7 9",
          "code": "ga",
          "lang": "Irish",
          "sense": "algebraic topology: way of associating a sequence of groups to a sequence of topological spaces",
          "tags": [
            "feminine"
          ],
          "word": "homalógacht"
        },
        {
          "_dis1": "3 10 32 13 6 10 4 6 7 9",
          "code": "pt",
          "lang": "Portuguese",
          "sense": "algebraic topology: way of associating a sequence of groups to a sequence of topological spaces",
          "tags": [
            "feminine"
          ],
          "word": "homologia"
        }
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Algebra",
          "orig": "en:Algebra",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "2 15 11 12 9 16 6 10 11 9",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "6 10 8 16 8 12 9 11 10 10",
          "kind": "other",
          "name": "English terms prefixed with homo-",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "2 13 11 15 9 15 6 9 10 10",
          "kind": "other",
          "name": "English terms suffixed with -logy",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "1 11 11 22 6 12 4 7 8 16",
          "kind": "other",
          "name": "Entries with translation boxes",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "2 14 10 15 9 15 6 9 10 9",
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "1 15 11 14 9 16 5 9 11 9",
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "3 11 9 19 6 12 7 10 9 12",
          "kind": "other",
          "name": "Terms with Czech translations",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "2 11 11 19 7 13 5 9 9 14",
          "kind": "other",
          "name": "Terms with Finnish translations",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "2 11 10 19 8 14 6 8 9 11",
          "kind": "other",
          "name": "Terms with French translations",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "2 11 11 19 7 13 5 8 9 13",
          "kind": "other",
          "name": "Terms with German translations",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "2 13 10 20 7 13 5 9 9 11",
          "kind": "other",
          "name": "Terms with Irish translations",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "2 12 12 20 7 14 5 8 9 11",
          "kind": "other",
          "name": "Terms with Italian translations",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "3 11 9 18 8 13 7 10 10 10",
          "kind": "other",
          "name": "Terms with Mandarin translations",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "2 11 10 18 8 14 6 10 9 12",
          "kind": "other",
          "name": "Terms with Portuguese translations",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "2 12 10 19 7 14 6 9 9 12",
          "kind": "other",
          "name": "Terms with Romanian translations",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "2 12 10 20 7 13 5 9 9 12",
          "kind": "other",
          "name": "Terms with Slovene translations",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "1 12 11 22 7 14 5 8 10 10",
          "kind": "other",
          "name": "Terms with Spanish translations",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "examples": [
        {
          "text": "Because of their connection with both homology and cohomology, chain complexes are an important topic of study in homological algebra.",
          "type": "example"
        }
      ],
      "glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "Given a chain complex {Gₙ} and its associated set of homomorphisms {Hₙ}, the rule which explains how each Hₙ maps Gₙ into the kernel of Gₙ₊₁."
      ],
      "id": "en-homology-en-noun-MfXX6Vff",
      "links": [
        [
          "homologous",
          "homologous"
        ],
        [
          "algebra",
          "algebra"
        ],
        [
          "chain complex",
          "chain complex"
        ],
        [
          "homomorphism",
          "homomorphism"
        ],
        [
          "kernel",
          "kernel"
        ]
      ],
      "raw_glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "(algebra) Given a chain complex {Gₙ} and its associated set of homomorphisms {Hₙ}, the rule which explains how each Hₙ maps Gₙ into the kernel of Gₙ₊₁."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "_dis1": "3 11 9 35 6 10 4 7 7 8",
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "tóngdiào",
          "sense": "algebra: rule by which each member of a chain complex maps into the kernel of the next",
          "word": "同调"
        },
        {
          "_dis1": "3 11 9 35 6 10 4 7 7 8",
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "tóngdiàoqún",
          "sense": "algebra: rule by which each member of a chain complex maps into the kernel of the next",
          "word": "同调群"
        },
        {
          "_dis1": "3 11 9 35 6 10 4 7 7 8",
          "code": "fi",
          "lang": "Finnish",
          "sense": "algebra: rule by which each member of a chain complex maps into the kernel of the next",
          "word": "homologia"
        },
        {
          "_dis1": "3 11 9 35 6 10 4 7 7 8",
          "code": "ga",
          "lang": "Irish",
          "sense": "algebra: rule by which each member of a chain complex maps into the kernel of the next",
          "tags": [
            "feminine"
          ],
          "word": "homalógacht"
        },
        {
          "_dis1": "3 11 9 35 6 10 4 7 7 8",
          "code": "pt",
          "lang": "Portuguese",
          "sense": "algebra: rule by which each member of a chain complex maps into the kernel of the next",
          "tags": [
            "feminine"
          ],
          "word": "homologia"
        }
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Chemistry",
          "orig": "en:Chemistry",
          "parents": [
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "The relationship, between elements, of being in the same group of the periodic table."
      ],
      "id": "en-homology-en-noun-sHeR8Lvx",
      "links": [
        [
          "homologous",
          "homologous"
        ],
        [
          "chemistry",
          "chemistry"
        ],
        [
          "element",
          "element"
        ],
        [
          "group",
          "group"
        ],
        [
          "periodic table",
          "periodic table"
        ]
      ],
      "raw_glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "(chemistry) The relationship, between elements, of being in the same group of the periodic table."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "chemistry",
        "natural-sciences",
        "physical-sciences"
      ],
      "translations": [
        {
          "_dis1": "5 6 5 5 27 19 5 6 14 7",
          "code": "fi",
          "lang": "Finnish",
          "sense": "chemistry: relationship of being in the same group of the periodic table",
          "word": "homologia"
        },
        {
          "_dis1": "5 6 5 5 27 19 5 6 14 7",
          "code": "fr",
          "lang": "French",
          "sense": "chemistry: relationship of being in the same group of the periodic table",
          "word": "homologie"
        },
        {
          "_dis1": "5 6 5 5 27 19 5 6 14 7",
          "code": "ga",
          "lang": "Irish",
          "sense": "chemistry: relationship of being in the same group of the periodic table",
          "tags": [
            "feminine"
          ],
          "word": "homalógacht"
        },
        {
          "_dis1": "5 6 5 5 27 19 5 6 14 7",
          "code": "it",
          "lang": "Italian",
          "sense": "chemistry: relationship of being in the same group of the periodic table",
          "word": "omologia"
        },
        {
          "_dis1": "5 6 5 5 27 19 5 6 14 7",
          "code": "pt",
          "lang": "Portuguese",
          "sense": "chemistry: relationship of being in the same group of the periodic table",
          "word": "homologia"
        },
        {
          "_dis1": "5 6 5 5 27 19 5 6 14 7",
          "code": "es",
          "lang": "Spanish",
          "sense": "chemistry: relationship of being in the same group of the periodic table",
          "word": "homología"
        }
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Organic chemistry",
          "orig": "en:Organic chemistry",
          "parents": [
            "Chemistry",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "2 15 11 12 9 16 6 10 11 9",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "2 13 11 15 9 15 6 9 10 10",
          "kind": "other",
          "name": "English terms suffixed with -logy",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "2 14 10 15 9 15 6 9 10 9",
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "1 15 11 14 9 16 5 9 11 9",
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "The relationship, between organic compounds, of being in the same homologous series."
      ],
      "id": "en-homology-en-noun-yyiEPATw",
      "links": [
        [
          "homologous",
          "homologous"
        ],
        [
          "organic chemistry",
          "organic chemistry"
        ],
        [
          "organic compound",
          "organic compound"
        ],
        [
          "homologous series",
          "homologous series"
        ]
      ],
      "raw_glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "(organic chemistry) The relationship, between organic compounds, of being in the same homologous series."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "chemistry",
        "natural-sciences",
        "organic-chemistry",
        "physical-sciences"
      ],
      "translations": [
        {
          "_dis1": "6 6 7 6 14 28 7 7 12 7",
          "code": "fi",
          "lang": "Finnish",
          "sense": "organic chemistry: relationship of being in the same homologous series",
          "word": "homologia"
        },
        {
          "_dis1": "6 6 7 6 14 28 7 7 12 7",
          "code": "fr",
          "lang": "French",
          "sense": "organic chemistry: relationship of being in the same homologous series",
          "word": "homologie"
        },
        {
          "_dis1": "6 6 7 6 14 28 7 7 12 7",
          "code": "ga",
          "lang": "Irish",
          "sense": "organic chemistry: relationship of being in the same homologous series",
          "tags": [
            "feminine"
          ],
          "word": "homalógacht"
        },
        {
          "_dis1": "6 6 7 6 14 28 7 7 12 7",
          "code": "it",
          "lang": "Italian",
          "sense": "organic chemistry: relationship of being in the same homologous series",
          "word": "omologia"
        },
        {
          "_dis1": "6 6 7 6 14 28 7 7 12 7",
          "code": "pt",
          "lang": "Portuguese",
          "sense": "organic chemistry: relationship of being in the same homologous series",
          "word": "homologia"
        },
        {
          "_dis1": "6 6 7 6 14 28 7 7 12 7",
          "code": "es",
          "lang": "Spanish",
          "sense": "organic chemistry: relationship of being in the same homologous series",
          "word": "homología"
        }
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Biology",
          "orig": "en:Biology",
          "parents": [
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Evolutionary theory",
          "orig": "en:Evolutionary theory",
          "parents": [
            "Biology",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Psychology",
          "orig": "en:Psychology",
          "parents": [
            "Social sciences",
            "Sciences",
            "Society",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "Coordinate term: homomorphism"
        },
        {
          "text": "2000, Julie A. Hawkins, Chapter 2: A survey of primary homology assessment, Robert Scotland, R. Toby Pennington (editors), Homology and Systematics, Taylor & Francis, The Systematics Association, page 22,\nThe objective of this study is to classify approaches to primary homology assessment, and to quantify the extent to which different approaches are found in the literature by examining variation in the ways characters are defined and coded in a data matrix."
        }
      ],
      "glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "The relationship, between characteristics or behaviours, of having a shared evolutionary or developmental origin;"
      ],
      "id": "en-homology-en-noun-en:biology",
      "links": [
        [
          "homologous",
          "homologous"
        ],
        [
          "biology",
          "biology"
        ],
        [
          "psychology",
          "psychology"
        ],
        [
          "evolutionary theory",
          "evolutionary theory"
        ],
        [
          "correspondence",
          "correspondence"
        ],
        [
          "life form",
          "life form"
        ],
        [
          "flipper",
          "flipper"
        ],
        [
          "hand",
          "hand"
        ]
      ],
      "raw_glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "(biology, psychology) The relationship, between characteristics or behaviours, of having a shared evolutionary or developmental origin;"
      ],
      "senseid": [
        "en:biology"
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "biology",
        "human-sciences",
        "natural-sciences",
        "psychology",
        "sciences"
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Biology",
          "orig": "en:Biology",
          "parents": [
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Evolutionary theory",
          "orig": "en:Evolutionary theory",
          "parents": [
            "Biology",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Psychology",
          "orig": "en:Psychology",
          "parents": [
            "Social sciences",
            "Sciences",
            "Society",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "The relationship, between characteristics or behaviours, of having a shared evolutionary or developmental origin;\n(evolutionary theory) specifically, a correspondence between structures in separate life forms having a common evolutionary origin, such as that between mammalian flippers and hands.",
        "specifically, a correspondence between structures in separate life forms having a common evolutionary origin, such as that between mammalian flippers and hands."
      ],
      "id": "en-homology-en-noun-en:biology1",
      "links": [
        [
          "homologous",
          "homologous"
        ],
        [
          "biology",
          "biology"
        ],
        [
          "psychology",
          "psychology"
        ],
        [
          "evolutionary theory",
          "evolutionary theory"
        ],
        [
          "correspondence",
          "correspondence"
        ],
        [
          "life form",
          "life form"
        ],
        [
          "flipper",
          "flipper"
        ],
        [
          "hand",
          "hand"
        ]
      ],
      "qualifier": "evolutionary theory",
      "raw_glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "(biology, psychology) The relationship, between characteristics or behaviours, of having a shared evolutionary or developmental origin;"
      ],
      "senseid": [
        "en:biology"
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "biology",
        "human-sciences",
        "natural-sciences",
        "psychology",
        "sciences"
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Genetics",
          "orig": "en:Genetics",
          "parents": [
            "Biology",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "2 15 11 12 9 16 6 10 11 9",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "2 13 11 15 9 15 6 9 10 10",
          "kind": "other",
          "name": "English terms suffixed with -logy",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "2 14 10 15 9 15 6 9 10 9",
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "1 15 11 14 9 16 5 9 11 9",
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "The presence of the same series of bases in different but related genes."
      ],
      "id": "en-homology-en-noun-eu7lG6AR",
      "links": [
        [
          "homologous",
          "homologous"
        ],
        [
          "genetics",
          "genetics"
        ],
        [
          "series",
          "series"
        ],
        [
          "base",
          "base"
        ],
        [
          "gene",
          "gene"
        ]
      ],
      "raw_glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "(genetics) The presence of the same series of bases in different but related genes."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "biology",
        "genetics",
        "medicine",
        "natural-sciences",
        "sciences"
      ],
      "translations": [
        {
          "_dis1": "3 7 5 6 14 17 4 6 31 6",
          "code": "fi",
          "lang": "Finnish",
          "sense": "genetics: presence of the same series of bases in related genes",
          "word": "homologia"
        },
        {
          "_dis1": "3 7 5 6 14 17 4 6 31 6",
          "code": "fr",
          "lang": "French",
          "sense": "genetics: presence of the same series of bases in related genes",
          "word": "homologie"
        },
        {
          "_dis1": "3 7 5 6 14 17 4 6 31 6",
          "code": "ga",
          "lang": "Irish",
          "sense": "genetics: presence of the same series of bases in related genes",
          "tags": [
            "feminine"
          ],
          "word": "homalógacht"
        },
        {
          "_dis1": "3 7 5 6 14 17 4 6 31 6",
          "code": "it",
          "lang": "Italian",
          "sense": "genetics: presence of the same series of bases in related genes",
          "word": "omologia"
        },
        {
          "_dis1": "3 7 5 6 14 17 4 6 31 6",
          "code": "pt",
          "lang": "Portuguese",
          "sense": "genetics: presence of the same series of bases in related genes",
          "word": "homologia"
        },
        {
          "_dis1": "3 7 5 6 14 17 4 6 31 6",
          "code": "es",
          "lang": "Spanish",
          "sense": "genetics: presence of the same series of bases in related genes",
          "word": "homología"
        }
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Anthropology",
          "orig": "en:Anthropology",
          "parents": [
            "Social sciences",
            "Zoology",
            "Sciences",
            "Society",
            "Biology",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "The relationship, between temporally separated human beliefs, practices or artefacts, of possessing shared characteristics attributed to genetic or historical links to a common ancestor."
      ],
      "id": "en-homology-en-noun-54M6VJGw",
      "links": [
        [
          "homologous",
          "homologous"
        ],
        [
          "anthropology",
          "anthropology"
        ],
        [
          "temporally",
          "temporally"
        ]
      ],
      "raw_glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "(anthropology) The relationship, between temporally separated human beliefs, practices or artefacts, of possessing shared characteristics attributed to genetic or historical links to a common ancestor."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "anthropology",
        "human-sciences",
        "sciences"
      ]
    }
  ],
  "sounds": [
    {
      "audio": "LL-Q1860 (eng)-Flame, not lame-homology.wav",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/0/0a/LL-Q1860_%28eng%29-Flame%2C_not_lame-homology.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-homology.wav.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/0/0a/LL-Q1860_%28eng%29-Flame%2C_not_lame-homology.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-homology.wav.ogg"
    }
  ],
  "translations": [
    {
      "_dis1": "10 10 10 10 10 10 10 10 10 10",
      "code": "fi",
      "lang": "Finnish",
      "sense": "homologous relationship",
      "word": "samankaltaisuus"
    },
    {
      "_dis1": "10 10 10 10 10 10 10 10 10 10",
      "code": "fi",
      "lang": "Finnish",
      "sense": "homologous relationship",
      "word": "homologia"
    },
    {
      "_dis1": "10 10 10 10 10 10 10 10 10 10",
      "code": "ga",
      "lang": "Irish",
      "sense": "homologous relationship",
      "tags": [
        "feminine"
      ],
      "word": "homalógacht"
    },
    {
      "_dis1": "10 10 10 10 10 10 10 10 10 10",
      "code": "pt",
      "lang": "Portuguese",
      "sense": "homologous relationship",
      "tags": [
        "feminine"
      ],
      "word": "homologia"
    },
    {
      "_dis1": "10 10 10 10 10 10 10 10 10 10",
      "code": "ro",
      "lang": "Romanian",
      "sense": "homologous relationship",
      "tags": [
        "feminine"
      ],
      "word": "omologie"
    },
    {
      "_dis1": "6 6 6 6 6 7 21 25 7 8",
      "code": "fi",
      "lang": "Finnish",
      "sense": "biology, psychology: relationship of having a common evolutionary or developmental origin",
      "word": "homologia"
    },
    {
      "_dis1": "6 6 6 6 6 7 21 25 7 8",
      "code": "ga",
      "lang": "Irish",
      "sense": "biology, psychology: relationship of having a common evolutionary or developmental origin",
      "tags": [
        "feminine"
      ],
      "word": "homalógacht"
    },
    {
      "_dis1": "6 6 6 6 6 7 21 25 7 8",
      "code": "ro",
      "lang": "Romanian",
      "sense": "biology, psychology: relationship of having a common evolutionary or developmental origin",
      "word": "omologie"
    }
  ],
  "wikipedia": [
    "Henri Poincaré",
    "Homology",
    "MathWorld",
    "singular homology"
  ],
  "word": "homology"
}
{
  "categories": [
    "English countable nouns",
    "English entries with incorrect language header",
    "English lemmas",
    "English nouns",
    "English terms prefixed with homo-",
    "English terms suffixed with -logy",
    "English uncountable nouns",
    "Entries with translation boxes",
    "Pages with 1 entry",
    "Pages with entries",
    "Requests for review of Czech translations",
    "Requests for review of French translations",
    "Requests for review of German translations",
    "Requests for review of Romanian translations",
    "Requests for review of Slovene translations",
    "Terms with Czech translations",
    "Terms with Finnish translations",
    "Terms with French translations",
    "Terms with German translations",
    "Terms with Irish translations",
    "Terms with Italian translations",
    "Terms with Mandarin translations",
    "Terms with Portuguese translations",
    "Terms with Romanian translations",
    "Terms with Slovene translations",
    "Terms with Spanish translations"
  ],
  "derived": [
    {
      "word": "axis of homology"
    },
    {
      "word": "center of homology"
    },
    {
      "word": "centre of homology"
    },
    {
      "word": "cohomology"
    },
    {
      "word": "Floer homology"
    },
    {
      "word": "homology axis"
    },
    {
      "word": "homology center"
    },
    {
      "word": "homology centre"
    },
    {
      "word": "homology group"
    },
    {
      "word": "homology modeling"
    },
    {
      "word": "homology modelling"
    },
    {
      "word": "homology sphere"
    },
    {
      "word": "hyperbolic homology"
    },
    {
      "word": "Khovanov homology"
    },
    {
      "word": "microhomology"
    },
    {
      "word": "parabolic homology"
    },
    {
      "word": "semihomology"
    },
    {
      "word": "sequence homology"
    },
    {
      "word": "singular homology"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "homo",
        "3": "logy"
      },
      "expansion": "homo- + -logy",
      "name": "confix"
    }
  ],
  "etymology_text": "From homo- + -logy.\nIn topology, first used by French polymath Henri Poincaré, in the sense (close to what is now called a bordism) of a relation between manifolds mapped into a reference manifold: that is, the property of such manifolds that they form the boundary of a higher-dimensional manifold inside the reference manifold. Poincaré's version was eventually replaced by the more general singular homology, which is what mathematicians now mean by homology.",
  "forms": [
    {
      "form": "homologies",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "~"
      },
      "expansion": "homology (countable and uncountable, plural homologies)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "analogy"
    },
    {
      "word": "homolog"
    },
    {
      "word": "homologue"
    },
    {
      "word": "homologation"
    },
    {
      "word": "homological"
    },
    {
      "word": "homothety"
    },
    {
      "word": "homotopy"
    }
  ],
  "senses": [
    {
      "categories": [
        "en:Geometry"
      ],
      "examples": [
        {
          "text": "1863, George Salmon, A Treatise on Conic Sections, Longman, Brown, Green, Longman, and Roberts, 4th Edition, page 61,\nTwo triangles are said to be homologous, when the intersections of the corresponding sides lie on the same right line called the axis of homology: prove that the lines joining the corresponding vertices meet in a point [called the centre of homology]."
        },
        {
          "text": "1885, Charles Leudesdorf (translator), Luigi Cremona, Elements of Projective Geometry, Oxford University Press (Clarendon Press), page 11,\nTwo corresponding straight lines therefore always intersect on a fixed straight line, which we may call s; thus the given figures are in homology, O being the centre, and s the axis, of homology."
        }
      ],
      "glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "specifically, such relationship in the context of the geometry of perspective."
      ],
      "links": [
        [
          "homologous",
          "homologous"
        ],
        [
          "geometry",
          "geometry"
        ],
        [
          "perspective",
          "perspective"
        ]
      ],
      "qualifier": "projective geometry",
      "raw_glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "(geometry, projective geometry) specifically, such relationship in the context of the geometry of perspective."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "English terms with usage examples",
        "en:Geometry"
      ],
      "examples": [
        {
          "text": "If the homology centre lies on the homology axis, the homology is said to be singular or parabolic; otherwise, it is called non-singular or hyperbolic.",
          "type": "example"
        }
      ],
      "glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "An automorphism of the projective plane (representing a perspective projection) that leaves all the points of some straight line (the homology axis) fixed and maps all the lines through some single point (the homology centre) onto themselves."
      ],
      "links": [
        [
          "homologous",
          "homologous"
        ],
        [
          "geometry",
          "geometry"
        ],
        [
          "automorphism",
          "automorphism"
        ],
        [
          "projective plane",
          "projective plane"
        ],
        [
          "perspective projection",
          "perspective projection"
        ],
        [
          "homology axis",
          "homology axis"
        ],
        [
          "homology centre",
          "homology centre"
        ]
      ],
      "qualifier": "projective geometry",
      "raw_glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "(geometry, projective geometry) An automorphism of the projective plane (representing a perspective projection) that leaves all the points of some straight line (the homology axis) fixed and maps all the lines through some single point (the homology centre) onto themselves."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "English terms with quotations",
        "en:Algebraic topology",
        "en:Topology"
      ],
      "examples": [
        {
          "ref": "2000, Sibe Mardešić, Strong Shape and Homology, Springer, page v:",
          "text": "One encounters a similar situation in homology theory. Beside singular homology, which is a homotopy invariant, and Čech homology, which is a shape invariant, there exists strong homology, which is a strong shape invariant. In the special case of metric compacta, this homology was introduced by N.E. Steenrod in 1940 and is often referred to as the Steenrod homology.",
          "type": "quote"
        },
        {
          "ref": "2002, Nikolai Saveliev, Invariants of Homology 3-Spheres, Springer, page 2:",
          "text": "Brieskorn homology spheres are a special case of Siefert fibered homology spheres.",
          "type": "quote"
        }
      ],
      "glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "A general way of associating a sequence of algebraic objects, such as abelian groups or modules, to a sequence of topological spaces; also used attributively: see Usage notes below."
      ],
      "links": [
        [
          "homologous",
          "homologous"
        ],
        [
          "topology",
          "topology"
        ],
        [
          "algebraic topology",
          "algebraic topology"
        ],
        [
          "abelian group",
          "abelian group"
        ],
        [
          "module",
          "module"
        ],
        [
          "topological space",
          "topological space"
        ]
      ],
      "raw_glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "(topology, algebraic topology) A general way of associating a sequence of algebraic objects, such as abelian groups or modules, to a sequence of topological spaces; also used attributively: see Usage notes below."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "algebraic-topology",
        "mathematics",
        "sciences",
        "topology"
      ]
    },
    {
      "categories": [
        "English terms with usage examples",
        "en:Algebra"
      ],
      "examples": [
        {
          "text": "Because of their connection with both homology and cohomology, chain complexes are an important topic of study in homological algebra.",
          "type": "example"
        }
      ],
      "glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "Given a chain complex {Gₙ} and its associated set of homomorphisms {Hₙ}, the rule which explains how each Hₙ maps Gₙ into the kernel of Gₙ₊₁."
      ],
      "links": [
        [
          "homologous",
          "homologous"
        ],
        [
          "algebra",
          "algebra"
        ],
        [
          "chain complex",
          "chain complex"
        ],
        [
          "homomorphism",
          "homomorphism"
        ],
        [
          "kernel",
          "kernel"
        ]
      ],
      "raw_glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "(algebra) Given a chain complex {Gₙ} and its associated set of homomorphisms {Hₙ}, the rule which explains how each Hₙ maps Gₙ into the kernel of Gₙ₊₁."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Chemistry"
      ],
      "glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "The relationship, between elements, of being in the same group of the periodic table."
      ],
      "links": [
        [
          "homologous",
          "homologous"
        ],
        [
          "chemistry",
          "chemistry"
        ],
        [
          "element",
          "element"
        ],
        [
          "group",
          "group"
        ],
        [
          "periodic table",
          "periodic table"
        ]
      ],
      "raw_glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "(chemistry) The relationship, between elements, of being in the same group of the periodic table."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "chemistry",
        "natural-sciences",
        "physical-sciences"
      ]
    },
    {
      "categories": [
        "en:Organic chemistry"
      ],
      "glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "The relationship, between organic compounds, of being in the same homologous series."
      ],
      "links": [
        [
          "homologous",
          "homologous"
        ],
        [
          "organic chemistry",
          "organic chemistry"
        ],
        [
          "organic compound",
          "organic compound"
        ],
        [
          "homologous series",
          "homologous series"
        ]
      ],
      "raw_glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "(organic chemistry) The relationship, between organic compounds, of being in the same homologous series."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "chemistry",
        "natural-sciences",
        "organic-chemistry",
        "physical-sciences"
      ]
    },
    {
      "categories": [
        "en:Biology",
        "en:Evolutionary theory",
        "en:Psychology"
      ],
      "examples": [
        {
          "text": "Coordinate term: homomorphism"
        },
        {
          "text": "2000, Julie A. Hawkins, Chapter 2: A survey of primary homology assessment, Robert Scotland, R. Toby Pennington (editors), Homology and Systematics, Taylor & Francis, The Systematics Association, page 22,\nThe objective of this study is to classify approaches to primary homology assessment, and to quantify the extent to which different approaches are found in the literature by examining variation in the ways characters are defined and coded in a data matrix."
        }
      ],
      "glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "The relationship, between characteristics or behaviours, of having a shared evolutionary or developmental origin;"
      ],
      "links": [
        [
          "homologous",
          "homologous"
        ],
        [
          "biology",
          "biology"
        ],
        [
          "psychology",
          "psychology"
        ],
        [
          "evolutionary theory",
          "evolutionary theory"
        ],
        [
          "correspondence",
          "correspondence"
        ],
        [
          "life form",
          "life form"
        ],
        [
          "flipper",
          "flipper"
        ],
        [
          "hand",
          "hand"
        ]
      ],
      "raw_glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "(biology, psychology) The relationship, between characteristics or behaviours, of having a shared evolutionary or developmental origin;"
      ],
      "senseid": [
        "en:biology"
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "biology",
        "human-sciences",
        "natural-sciences",
        "psychology",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Biology",
        "en:Evolutionary theory",
        "en:Psychology"
      ],
      "glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "The relationship, between characteristics or behaviours, of having a shared evolutionary or developmental origin;\n(evolutionary theory) specifically, a correspondence between structures in separate life forms having a common evolutionary origin, such as that between mammalian flippers and hands.",
        "specifically, a correspondence between structures in separate life forms having a common evolutionary origin, such as that between mammalian flippers and hands."
      ],
      "links": [
        [
          "homologous",
          "homologous"
        ],
        [
          "biology",
          "biology"
        ],
        [
          "psychology",
          "psychology"
        ],
        [
          "evolutionary theory",
          "evolutionary theory"
        ],
        [
          "correspondence",
          "correspondence"
        ],
        [
          "life form",
          "life form"
        ],
        [
          "flipper",
          "flipper"
        ],
        [
          "hand",
          "hand"
        ]
      ],
      "qualifier": "evolutionary theory",
      "raw_glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "(biology, psychology) The relationship, between characteristics or behaviours, of having a shared evolutionary or developmental origin;"
      ],
      "senseid": [
        "en:biology"
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "biology",
        "human-sciences",
        "natural-sciences",
        "psychology",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Genetics"
      ],
      "glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "The presence of the same series of bases in different but related genes."
      ],
      "links": [
        [
          "homologous",
          "homologous"
        ],
        [
          "genetics",
          "genetics"
        ],
        [
          "series",
          "series"
        ],
        [
          "base",
          "base"
        ],
        [
          "gene",
          "gene"
        ]
      ],
      "raw_glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "(genetics) The presence of the same series of bases in different but related genes."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "biology",
        "genetics",
        "medicine",
        "natural-sciences",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Anthropology"
      ],
      "glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "The relationship, between temporally separated human beliefs, practices or artefacts, of possessing shared characteristics attributed to genetic or historical links to a common ancestor."
      ],
      "links": [
        [
          "homologous",
          "homologous"
        ],
        [
          "anthropology",
          "anthropology"
        ],
        [
          "temporally",
          "temporally"
        ]
      ],
      "raw_glosses": [
        "The relationship of being homologous; a homologous relationship.",
        "(anthropology) The relationship, between temporally separated human beliefs, practices or artefacts, of possessing shared characteristics attributed to genetic or historical links to a common ancestor."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "anthropology",
        "human-sciences",
        "sciences"
      ]
    }
  ],
  "sounds": [
    {
      "audio": "LL-Q1860 (eng)-Flame, not lame-homology.wav",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/0/0a/LL-Q1860_%28eng%29-Flame%2C_not_lame-homology.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-homology.wav.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/0/0a/LL-Q1860_%28eng%29-Flame%2C_not_lame-homology.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-homology.wav.ogg"
    }
  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "homologous relationship",
      "word": "samankaltaisuus"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "homologous relationship",
      "word": "homologia"
    },
    {
      "code": "ga",
      "lang": "Irish",
      "sense": "homologous relationship",
      "tags": [
        "feminine"
      ],
      "word": "homalógacht"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "homologous relationship",
      "tags": [
        "feminine"
      ],
      "word": "homologia"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "homologous relationship",
      "tags": [
        "feminine"
      ],
      "word": "omologie"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "geometry: automorphism representing a perspective projection",
      "word": "samankaltaisuus"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "geometry: automorphism representing a perspective projection",
      "word": "homologia"
    },
    {
      "code": "ga",
      "lang": "Irish",
      "sense": "geometry: automorphism representing a perspective projection",
      "tags": [
        "feminine"
      ],
      "word": "homalógacht"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "geometry: automorphism representing a perspective projection",
      "tags": [
        "feminine"
      ],
      "word": "homologia"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "geometry: automorphism representing a perspective projection",
      "tags": [
        "feminine"
      ],
      "word": "omologie"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "tóngdiào",
      "sense": "algebraic topology: way of associating a sequence of groups to a sequence of topological spaces",
      "word": "同调"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "tóngdiàolùn",
      "sense": "algebraic topology: way of associating a sequence of groups to a sequence of topological spaces",
      "word": "同调论"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "algebraic topology: way of associating a sequence of groups to a sequence of topological spaces",
      "word": "homologia"
    },
    {
      "code": "ga",
      "lang": "Irish",
      "sense": "algebraic topology: way of associating a sequence of groups to a sequence of topological spaces",
      "tags": [
        "feminine"
      ],
      "word": "homalógacht"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "algebraic topology: way of associating a sequence of groups to a sequence of topological spaces",
      "tags": [
        "feminine"
      ],
      "word": "homologia"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "tóngdiào",
      "sense": "algebra: rule by which each member of a chain complex maps into the kernel of the next",
      "word": "同调"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "tóngdiàoqún",
      "sense": "algebra: rule by which each member of a chain complex maps into the kernel of the next",
      "word": "同调群"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "algebra: rule by which each member of a chain complex maps into the kernel of the next",
      "word": "homologia"
    },
    {
      "code": "ga",
      "lang": "Irish",
      "sense": "algebra: rule by which each member of a chain complex maps into the kernel of the next",
      "tags": [
        "feminine"
      ],
      "word": "homalógacht"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "algebra: rule by which each member of a chain complex maps into the kernel of the next",
      "tags": [
        "feminine"
      ],
      "word": "homologia"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "biology, psychology: relationship of having a common evolutionary or developmental origin",
      "word": "homologia"
    },
    {
      "code": "ga",
      "lang": "Irish",
      "sense": "biology, psychology: relationship of having a common evolutionary or developmental origin",
      "tags": [
        "feminine"
      ],
      "word": "homalógacht"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "biology, psychology: relationship of having a common evolutionary or developmental origin",
      "word": "omologie"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "chemistry: relationship of being in the same group of the periodic table",
      "word": "homologia"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "chemistry: relationship of being in the same group of the periodic table",
      "word": "homologie"
    },
    {
      "code": "ga",
      "lang": "Irish",
      "sense": "chemistry: relationship of being in the same group of the periodic table",
      "tags": [
        "feminine"
      ],
      "word": "homalógacht"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "chemistry: relationship of being in the same group of the periodic table",
      "word": "omologia"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "chemistry: relationship of being in the same group of the periodic table",
      "word": "homologia"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "chemistry: relationship of being in the same group of the periodic table",
      "word": "homología"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "organic chemistry: relationship of being in the same homologous series",
      "word": "homologia"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "organic chemistry: relationship of being in the same homologous series",
      "word": "homologie"
    },
    {
      "code": "ga",
      "lang": "Irish",
      "sense": "organic chemistry: relationship of being in the same homologous series",
      "tags": [
        "feminine"
      ],
      "word": "homalógacht"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "organic chemistry: relationship of being in the same homologous series",
      "word": "omologia"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "organic chemistry: relationship of being in the same homologous series",
      "word": "homologia"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "organic chemistry: relationship of being in the same homologous series",
      "word": "homología"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "genetics: presence of the same series of bases in related genes",
      "word": "homologia"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "genetics: presence of the same series of bases in related genes",
      "word": "homologie"
    },
    {
      "code": "ga",
      "lang": "Irish",
      "sense": "genetics: presence of the same series of bases in related genes",
      "tags": [
        "feminine"
      ],
      "word": "homalógacht"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "genetics: presence of the same series of bases in related genes",
      "word": "omologia"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "genetics: presence of the same series of bases in related genes",
      "word": "homologia"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "genetics: presence of the same series of bases in related genes",
      "word": "homología"
    }
  ],
  "wikipedia": [
    "Henri Poincaré",
    "Homology",
    "MathWorld",
    "singular homology"
  ],
  "word": "homology"
}

Download raw JSONL data for homology meaning in English (19.6kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.