Associations to the word «Functor»

FUNCTOR, noun. (grammar) a function word

FUNCTOR, noun. (computing) a function object

FUNCTOR, noun. (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:X→Y of C is mapped to a morphism F(f): F(X) → F(Y) of D, such that if \( h = g \circ f \) then \( F(h) = F(g) \circ F(f)\), and such that identity morphisms (and only identity morphisms) are mapped to identity morphisms. Note: the functor just described is covariant.