Covariant Functor

A functor F is called covariant if it preserves the directions of arrows, i.e., every arrow f:A-->B is mapped to an arrow F(f):F(A)-->F(B).

See also

Contravariant Functor, Forgetful Functor, Functor, Hom, Tensor Product Functor

This entry contributed by Margherita Barile

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Barile, Margherita. "Covariant Functor." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein.

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