See universal property on Wiktionary
{ "forms": [ { "form": "universal properties", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "universal property (plural universal properties)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ { "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w" }, { "kind": "other", "name": "Entries with translation boxes", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with German translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Russian translations", "parents": [], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Category theory", "orig": "en:Category theory", "parents": [ "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Logic", "orig": "en:Logic", "parents": [ "Formal sciences", "Philosophy", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "glosses": [ "The property of there being a unique morphism from an arbitrary object to the universal morphism of a comma category which is from a functor to a fixed object; or, dually, the property of there being a unique morphism from the universal morphism to an arbitrary object of a comma category which is from a fixed object to a functor. (Caveat: the uniqueness is up to isomorphism.)" ], "id": "en-universal_property-en-noun-tg8uk1Rv", "links": [ [ "mathematics", "mathematics" ], [ "universal morphism", "universal morphism" ], [ "comma category", "comma category" ] ], "raw_glosses": [ "(mathematics) The property of there being a unique morphism from an arbitrary object to the universal morphism of a comma category which is from a functor to a fixed object; or, dually, the property of there being a unique morphism from the universal morphism to an arbitrary object of a comma category which is from a fixed object to a functor. (Caveat: the uniqueness is up to isomorphism.)" ], "topics": [ "mathematics", "sciences" ], "translations": [ { "code": "de", "lang": "German", "sense": "Translations", "tags": [ "feminine" ], "word": "universelle Eigenschaft" }, { "code": "ru", "lang": "Russian", "roman": "universalʹnoje svojstvo", "sense": "Translations", "tags": [ "neuter" ], "word": "универсальное свойство" } ], "wikipedia": [ "universal property" ] } ], "word": "universal property" }
{ "forms": [ { "form": "universal properties", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "universal property (plural universal properties)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ "English countable nouns", "English entries with incorrect language header", "English lemmas", "English multiword terms", "English nouns", "Entries with translation boxes", "Pages with 1 entry", "Pages with entries", "Terms with German translations", "Terms with Russian translations", "Translation table header lacks gloss", "en:Category theory", "en:Logic", "en:Mathematics" ], "glosses": [ "The property of there being a unique morphism from an arbitrary object to the universal morphism of a comma category which is from a functor to a fixed object; or, dually, the property of there being a unique morphism from the universal morphism to an arbitrary object of a comma category which is from a fixed object to a functor. (Caveat: the uniqueness is up to isomorphism.)" ], "links": [ [ "mathematics", "mathematics" ], [ "universal morphism", "universal morphism" ], [ "comma category", "comma category" ] ], "raw_glosses": [ "(mathematics) The property of there being a unique morphism from an arbitrary object to the universal morphism of a comma category which is from a functor to a fixed object; or, dually, the property of there being a unique morphism from the universal morphism to an arbitrary object of a comma category which is from a fixed object to a functor. (Caveat: the uniqueness is up to isomorphism.)" ], "topics": [ "mathematics", "sciences" ], "wikipedia": [ "universal property" ] } ], "translations": [ { "code": "de", "lang": "German", "sense": "Translations", "tags": [ "feminine" ], "word": "universelle Eigenschaft" }, { "code": "ru", "lang": "Russian", "roman": "universalʹnoje svojstvo", "sense": "Translations", "tags": [ "neuter" ], "word": "универсальное свойство" } ], "word": "universal property" }
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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.
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.