A functor is called covariant if it preserves the directions of arrows, i.e., every arrow is mapped to an arrow .

# Covariant Functor

## See also

Contravariant Functor, Forgetful Functor, Functor, Hom, Tensor Product Functor
*This entry contributed by Margherita
Barile*

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## Cite this as:

Barile, Margherita. "Covariant Functor." From *MathWorld*--A Wolfram Web Resource, created by Eric
W. Weisstein. https://mathworld.wolfram.com/CovariantFunctor.html