• Definition for "functor"
• the one that works a procedure or a…
• Sentence for "functor"
• In the regimented environment of LeÅniewski's…
• Form for "functor"
• contravariant functor
• Same Context for "functor"
• interdental
• Urban Dictionary for "functor"
• A functor, or purpose item, is…

# functor definition

• noun:
• the one that works a procedure or a function.
• Grammar See operate word.
• a function word
• a function object
• a structure-preserving mapping between groups: if F is a functor from group C to category D, after that F maps items of C to objects of D and morphisms of C to morphisms of D in a way that any morphism f:X→Y of C is mapped to a morphism F(f): F(X) → F(Y) of D, so that if after that , and so that identity morphisms (and just identification morphisms) are mapped to identity morphisms. Note: the functor only described is covariant.
• One that does a surgical procedure or a function.
• Grammar See work term.
• a function term
• a function item
• 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 then , and such that identity morphisms (and only identity morphisms) are mapped to identity morphisms. Note: the functor just described is covariant.