See Yoneda embedding in All languages combined, or Wiktionary
{ "etymology_text": "Named after the Japanese mathematician Nobuo Yoneda (1930–1996).", "forms": [ { "form": "Yoneda embeddings", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "Yoneda embedding (plural Yoneda embeddings)", "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": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "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 embedding of a category 𝒞 within the category of functors from 𝒞 to the category of sets. Such an embedding is effected by a Yoneda functor." ], "id": "en-Yoneda_embedding-en-noun-SZaBB-rc", "links": [ [ "category theory", "category theory" ], [ "embedding", "embedding" ], [ "functor", "functor" ], [ "Yoneda functor", "Yoneda functor" ] ], "raw_glosses": [ "(category theory) An embedding of a category 𝒞 within the category of functors from 𝒞 to the category of sets. Such an embedding is effected by a Yoneda functor." ], "topics": [ "category-theory", "computing", "engineering", "mathematics", "natural-sciences", "physical-sciences", "sciences" ], "wikipedia": [ "Yoneda embedding" ] } ], "word": "Yoneda embedding" }
{ "etymology_text": "Named after the Japanese mathematician Nobuo Yoneda (1930–1996).", "forms": [ { "form": "Yoneda embeddings", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "Yoneda embedding (plural Yoneda embeddings)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ "English countable nouns", "English entries with incorrect language header", "English eponyms", "English lemmas", "English multiword terms", "English nouns", "Pages with 1 entry", "Pages with entries", "en:Category theory" ], "glosses": [ "An embedding of a category 𝒞 within the category of functors from 𝒞 to the category of sets. Such an embedding is effected by a Yoneda functor." ], "links": [ [ "category theory", "category theory" ], [ "embedding", "embedding" ], [ "functor", "functor" ], [ "Yoneda functor", "Yoneda functor" ] ], "raw_glosses": [ "(category theory) An embedding of a category 𝒞 within the category of functors from 𝒞 to the category of sets. Such an embedding is effected by a Yoneda functor." ], "topics": [ "category-theory", "computing", "engineering", "mathematics", "natural-sciences", "physical-sciences", "sciences" ], "wikipedia": [ "Yoneda embedding" ] } ], "word": "Yoneda embedding" }
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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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