functor

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functor

  • /ˈfʌŋktə/ UK

Where it comes from

From function, modeled after factor.

noun functors

  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. In the category of categories #92;mathbf#123;Cat#125; the objects are categories and the morphisms are functors.
  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.

Translations

Every language

noun category theory: category mapping

Españolfuntor, functor
日本語関手 kanshu
中文函子 hánzǐ
Portuguêsfunctor, funtor
Françaisfoncteur
DeutschFunktor
Italianofuntore
Русскийфунктор funktor

noun object-oriented programming: function object

Françaisfoncteur

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Cite this
MLA

"functor." Wiktionary, via Micwyn, micwyn.com/word/functor. Accessed 6 Nov. 2026.

APA

functor. (n.d.). In Wiktionary, via Micwyn. Retrieved November 6, 2026, from https://micwyn.com/word/functor

Chicago

"functor." Wiktionary, via Micwyn. Accessed November 6, 2026. https://micwyn.com/word/functor.

BibTeX
@misc{functor_2026,
  title = {functor},
  howpublished = {Wiktionary, via Micwyn},
  year = {2026},
  url = {https://micwyn.com/word/functor},
  urldate = {2026-11-06}
}