Functors

Hom functor

In mathematics, specifically in category theory, hom-sets (i.e. sets of morphisms between objects) give rise to important functors to the category of sets. These functors are called hom-functors and have numerous applications in category theory and other branches of mathematics. (Wikipedia).

Hom functor
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Related pages

Category of sets | If and only if | Presheaf (category theory) | Profunctor | Currying | Map (mathematics) | Category of relations | Tensor product of modules | Exponential object | Commutative diagram | Natural transformation | Projective module | Closed category | Abelian category | Closed monoidal category | Full and faithful functors | Mathematics | Function (mathematics) | Set (mathematics) | Representable functor | Category theory | Ring (mathematics) | Category (mathematics) | Morphism | Ext functor | Functor | Limit (category theory) | Functor category | Cartesian closed category | Monoidal category | Opposite category | Simply typed lambda calculus | Abelian group | Module (mathematics) | Exact functor