📖 Definitions of "Functor"
noun
- 1
(grammar) 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, in such a way as to preserve domains and codomains (of the arrows) as well as composition and identities.
"In the category of categories, \mathbb{CAT}, the objects are categories and the morphisms are functors."
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