See full functor in All languages combined, or Wiktionary
{ "forms": [ { "form": "full functors", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "full functor (plural full functors)", "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": [ "A functor which maps morphisms from its source to its target category in such a way that the restriction of that mapping to any source hom-set is surjective into the corresponding target hom-set." ], "id": "en-full_functor-en-noun-50wyIT4j", "links": [ [ "category theory", "category theory" ], [ "functor", "functor" ], [ "morphism", "morphism" ], [ "hom-set", "hom-set" ] ], "raw_glosses": [ "(category theory) A functor which maps morphisms from its source to its target category in such a way that the restriction of that mapping to any source hom-set is surjective into the corresponding target hom-set." ], "topics": [ "category-theory", "computing", "engineering", "mathematics", "natural-sciences", "physical-sciences", "sciences" ], "wikipedia": [ "full and faithful functors" ] } ], "word": "full functor" }
{ "forms": [ { "form": "full functors", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "full functor (plural full functors)", "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", "Pages with 1 entry", "Pages with entries", "en:Category theory" ], "glosses": [ "A functor which maps morphisms from its source to its target category in such a way that the restriction of that mapping to any source hom-set is surjective into the corresponding target hom-set." ], "links": [ [ "category theory", "category theory" ], [ "functor", "functor" ], [ "morphism", "morphism" ], [ "hom-set", "hom-set" ] ], "raw_glosses": [ "(category theory) A functor which maps morphisms from its source to its target category in such a way that the restriction of that mapping to any source hom-set is surjective into the corresponding target hom-set." ], "topics": [ "category-theory", "computing", "engineering", "mathematics", "natural-sciences", "physical-sciences", "sciences" ], "wikipedia": [ "full and faithful functors" ] } ], "word": "full functor" }
Download raw JSONL data for full functor meaning in English (1.2kB)
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-01-25 from the enwiktionary dump dated 2025-01-20 using wiktextract (c15a5ce and 5c11237). 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.