See twist morphism in All languages combined, or Wiktionary
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{ "etymology_text": "See braid theory.", "forms": [ { "form": "twist morphisms", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "twist morphism (plural twist morphisms)", "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": "topical", "langcode": "en", "name": "Category theory", "orig": "en:Category theory", "parents": [ "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "glosses": [ "An isomorphism between a pair of products which have the same components but in swapped order, which isomorphism commutes with the two associated product diagrams." ], "id": "en-twist_morphism-en-noun-2hH3CUaZ", "links": [ [ "category theory", "category theory" ], [ "isomorphism", "isomorphism" ], [ "product", "product" ] ], "raw_glosses": [ "(category theory) An isomorphism between a pair of products which have the same components but in swapped order, which isomorphism commutes with the two associated product diagrams." ], "topics": [ "category-theory", "computing", "engineering", "mathematics", "natural-sciences", "physical-sciences", "sciences" ], "wikipedia": [ "braid theory" ] } ], "word": "twist morphism" }
{ "etymology_text": "See braid theory.", "forms": [ { "form": "twist morphisms", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "twist morphism (plural twist morphisms)", "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", "en:Category theory" ], "glosses": [ "An isomorphism between a pair of products which have the same components but in swapped order, which isomorphism commutes with the two associated product diagrams." ], "links": [ [ "category theory", "category theory" ], [ "isomorphism", "isomorphism" ], [ "product", "product" ] ], "raw_glosses": [ "(category theory) An isomorphism between a pair of products which have the same components but in swapped order, which isomorphism commutes with the two associated product diagrams." ], "topics": [ "category-theory", "computing", "engineering", "mathematics", "natural-sciences", "physical-sciences", "sciences" ], "wikipedia": [ "braid theory" ] } ], "word": "twist morphism" }
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-06 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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.