functor
func·tornoun
- One that performs an operation or a function.
- Grammar See function word.
Origin of functor
New Latin fūnctor from Latin fūnctiō performance, function ; see function .functor
Noun
(plural functors)
- (grammar) a function word
- (computing) a function object
- (category theory) a structure-preserving mapping between categories: if F is a functor from category C to category D, then F maps objects of C to objects of D and morphisms of C to morphisms of D such that any morphism f:Xâ†’Y of C is mapped to a morphism F(f): F(X) â†’ F(Y) of D, such that if then , and such that identity morphisms (only identity morphisms) are mapped to identity morphisms. Note: the functor just described is covariant.