Definitions For Functor

Noun

FUNCTOR (plural FUNCTORs) (grammar) A function word. (object-oriented programming) A function object. (category theory) A category homomorphism; a morphism from a source category to a target category which maps objects to objects and arrows to arrows, in such a way as to preserve domains and codomains (of the arrows) as well as composition and identity, identities. : {{hypo, en, endofunctor}} : {{ux, en, In the category of categories, \mathbb{CAT}, the objects are categories and the morphisms are functors.}}

Derived terms

contravariant functor functor category representable functor

Translations

grammar: function word, function word Finnish: funktio-olio French: foncteur, m Chinese: : Mandarin: 函子 (hánzǐ, sc=Hani) Finnish: funktori French: foncteur, m German: Funktor, m Hungarian: funktor Icelandic: varpi, m Irish: feidhmeoir Italian: funtore, m Japanese: 関手 (かんしゅ, kanshu, sc=Jpan) Polish: funktor, m Portuguese: functor, m, funtor, m Russian: функтор Spanish: funtor, m Swedish: funktor, c