homfunktor
A homfunctor, also known as a homomorphism functor, is a concept in category theory that generalizes the idea of a homomorphism between algebraic structures to functors between categories. It is a functor that maps objects to sets and morphisms to functions in a way that preserves the structure of the category.
Formally, given two categories C and D, a homfunctor H from C to D is a functor
1. H(id_X) = id_H(X) for all objects X in C, where id_X and id_H(X) denote the identity morphisms
2. H(g ∘ f) = H(g) ∘ H(f) for all composable morphisms f and g in C, where ∘ denotes
Homfunctors are used to study the relationships between different categories and to transfer properties and structures