English Explanatory Dictionary

functor

English dictionary entry

Meanings

noun
  1. A function word.
  2. A function object.
  3. A category homomorphism; a morphism from a source category to a target category which maps objects to objects and arrows to arrows (either covariantly or contravariantly), in such a way as to preserve morphism composition and identities.
  4. A structure allowing a function to apply within a generic type, in a way that is conceptually similar to a functor in category theory.

Pronunciation

/ˈfʌŋktə/ LL-Q1860 (eng)-Flame, not lame-functor.wav

Word forms

functor functors

Etymology

From function, modeled after factor.

Derived words

adjoint functor anafunctor bifunctor contravariant functor faithful functor forgetful functor full functor functor category functorial group functor identity functor overfunctor profunctor pseudofunctor representable functor subfunctor underlying functor Yoneda functor

Translations

Bashkir: функтор Chinese Mandarin: 函子 Finnish: funktori French: foncteur German: Funktor Hungarian: funktor Icelandic: varpi Irish: feidhmeoir Italian: funtore Japanese: 関手 Kazakh: функтор Kyrgyz: функтор Polish: funktor Portuguese: functor Portuguese: funtor Russian: функтор Spanish: funtor Spanish: functor Swedish: funktor
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