See pseudocollarable on Wiktionary
{ "etymology_templates": [ { "args": { "1": "en", "2": "pseudo", "3": "collarable" }, "expansion": "pseudo- + collarable", "name": "prefix" } ], "etymology_text": "From pseudo- + collarable.", "head_templates": [ { "args": { "1": "-" }, "expansion": "pseudocollarable (not comparable)", "name": "en-adj" } ], "lang": "English", "lang_code": "en", "pos": "adj", "senses": [ { "categories": [ { "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w" }, { "kind": "other", "name": "English terms prefixed with pseudo-", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "examples": [ { "ref": "2015, Karim A. Adiprasito, Louis Funar, “Hyperbolicity of contractible manifolds”, in arXiv:", "text": "Answering a question going back to Gromov, we show that, for an open, polyhedral contractible manifold M of dimension at least 6, the following conditions are equivalent: - M admits a geodesically complete CAT(0) metric; - M can be collapsed; - M is pseudocollarable. This yields many new contractible manifolds that admit CAT(0) metrics, and it shows that the CAT(0) property of a contractible manifold is purely determined by a condition at infinity, and shows that contractible manifolds of the Whitehead type can never admit a complete CAT(0) metric.", "type": "quote" } ], "glosses": [ "Such that there exists a neighborhood that is homeomorphic to a product, but this homeomorphism may not preserve all the desired structures or conditions that a true collar neighborhood would." ], "id": "en-pseudocollarable-en-adj-q0FibTtL", "links": [ [ "mathematics", "mathematics" ], [ "homeomorphic", "homeomorphic" ], [ "homeomorphism", "homeomorphism" ], [ "collar", "collar" ], [ "neighborhood", "neighborhood" ] ], "raw_glosses": [ "(mathematics) Such that there exists a neighborhood that is homeomorphic to a product, but this homeomorphism may not preserve all the desired structures or conditions that a true collar neighborhood would." ], "tags": [ "not-comparable" ], "topics": [ "mathematics", "sciences" ] } ], "word": "pseudocollarable" }
{ "etymology_templates": [ { "args": { "1": "en", "2": "pseudo", "3": "collarable" }, "expansion": "pseudo- + collarable", "name": "prefix" } ], "etymology_text": "From pseudo- + collarable.", "head_templates": [ { "args": { "1": "-" }, "expansion": "pseudocollarable (not comparable)", "name": "en-adj" } ], "lang": "English", "lang_code": "en", "pos": "adj", "senses": [ { "categories": [ "English adjectives", "English entries with incorrect language header", "English lemmas", "English terms prefixed with pseudo-", "English terms with quotations", "English uncomparable adjectives", "Pages with 1 entry", "Pages with entries", "en:Mathematics" ], "examples": [ { "ref": "2015, Karim A. Adiprasito, Louis Funar, “Hyperbolicity of contractible manifolds”, in arXiv:", "text": "Answering a question going back to Gromov, we show that, for an open, polyhedral contractible manifold M of dimension at least 6, the following conditions are equivalent: - M admits a geodesically complete CAT(0) metric; - M can be collapsed; - M is pseudocollarable. This yields many new contractible manifolds that admit CAT(0) metrics, and it shows that the CAT(0) property of a contractible manifold is purely determined by a condition at infinity, and shows that contractible manifolds of the Whitehead type can never admit a complete CAT(0) metric.", "type": "quote" } ], "glosses": [ "Such that there exists a neighborhood that is homeomorphic to a product, but this homeomorphism may not preserve all the desired structures or conditions that a true collar neighborhood would." ], "links": [ [ "mathematics", "mathematics" ], [ "homeomorphic", "homeomorphic" ], [ "homeomorphism", "homeomorphism" ], [ "collar", "collar" ], [ "neighborhood", "neighborhood" ] ], "raw_glosses": [ "(mathematics) Such that there exists a neighborhood that is homeomorphic to a product, but this homeomorphism may not preserve all the desired structures or conditions that a true collar neighborhood would." ], "tags": [ "not-comparable" ], "topics": [ "mathematics", "sciences" ] } ], "word": "pseudocollarable" }
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This page is a part of the kaikki.org machine-readable All languages combined 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.
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