functor.
A function word.
Meaning & usage
A function word.
A function object.
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.
A structure allowing a function to apply within a generic type, in a way that is conceptually similar to a functor in category theory.
Where this word comes from
From function, modeled after factor.
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Definitions, grammatical labels, IPA, etymology and examples: Wiktionary contributors, extracted by Kaikki / Wiktextract. Adapted under CC BY-SA 4.0. Selected fields and authored examples are shown; third-party quotations and audio are omitted. See contributor history.
Last enriched 2026-09-10. Definitions are in English. Romanizations are shown when supplied by the source; syllable estimates are omitted for unsupported scripts.