Functor
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Functor
In mathematics, specifically category theory, a functor is a mapping between categories. Functors were first considered in algebraic topology, where algebraic...
Functor (disambiguation)
up functor in Wiktionary, the free dictionary. A functor, in mathematics, is a map between categories. Functor may also refer to: Predicate functor in...
Adjoint functors
relationship that two functors may exhibit, intuitively corresponding to a weak form of equivalence between two related categories. Two functors that stand in...
Group functor
In mathematics, a group functor is a group-valued functor on the category of commutative rings. Although it is typically viewed as a generalization of...
Functor (functional programming)
In functional programming, a functor is a design pattern inspired by the definition from category theory that allows one to apply a function to values...
Limit (category theory)
like the strongly related notions of universal properties and adjoint functors, exist at a high level of abstraction. In order to understand them, it...
Hom functor
between objects) give rise to important functors to the category of sets. These functors are called hom-functors and have numerous applications in category...
Conservative functor
In category theory, a branch of mathematics, a conservative functor is a functor F : C → D {\displaystyle F:C\to D} such that for any morphism f in C,...
Yoneda lemma
category of functors (contravariant set-valued functors) defined on that category. It also clarifies how the embedded category of representable functors and their...
Full and faithful functors
category theory, a faithful functor is a functor that is injective on hom-sets, and a full functor is surjective on hom-sets. A functor that has both properties...