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.

A theory or system of social reform which contemplates a complete reconstruction of society with a more just and equitable distribution of property and labor In popular usage the term is often employed to indicate any lawless revolutionary social scheme See Communism Fourierism Saint Simonianism forms of socialism...

## How would you define functor?