functor
Pronunciation:
/ˈfʌŋktə/noun
Definitions
(grammar) 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, in such a way as to preserve domains and codomains (of the arrows) as well as composition and identities.
Example: In the category of categories, \mathbb{CAT}, the objects are categories and the morphisms are functors.