The Hom functor is a fundamental concept in category theory that assigns to each pair of objects in a category a set of morphisms (or arrows) between them. It can be expressed as Hom(A, B), where A and B are objects, and this functor captures the relationship between these objects in terms of mappings. The Hom functor can be either covariant or contravariant, depending on how it behaves with respect to the direction of the morphisms when applied to morphisms in a category.
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