Search for "Functors" in article titles:

1. Adjoint functors: In mathematics, specifically category theory, adjunction is a relationship that two functors may exhibit, intuitively corresponding to a weak form of equivalence between two related categories. Two functors that stand in this relationship are known as adjoint functors, one being ... (Relationship between two functors abstracting many common constructions) [100%] 2024-01-11 [Adjoint functors]
2. Category of functors: This article focuses on the category of contravariant functors between two categories. Let C {\displaystyle C} and D {\displaystyle D} be two categories. [81%] 2023-06-18
3. Calculus of functors: In algebraic topology, a branch of mathematics, the calculus of functors or Goodwillie calculus is a technique for studying functors by approximating them by a sequence of simpler functors; it generalizes the sheafification of a presheaf. This sequence of approximations ... [81%] 2023-12-09 [Algebraic topology] [Functors]...
4. Calculus of functors: In algebraic topology, a branch of mathematics, the calculus of functors or Goodwillie calculus is a technique for studying functors by approximating them by a sequence of simpler functors; it generalizes the sheafification of a presheaf. This sequence of approximations ... [81%] 2025-08-27 [Algebraic topology] [Functors]...
5. Full and faithful functors: In 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 is called a fully faithful functor. (Functors which are surjective and injective on hom-sets) [70%] 2023-09-27 [Functors]
6. Image functors for sheaves: In mathematics, especially in sheaf theory—a domain applied in areas such as topology, logic and algebraic geometry—there are four image functors for sheaves that belong together in various senses. Given a continuous mapping f: X → Y of topological ... [70%] 2024-02-17 [Sheaf theory]
7. Formal criteria for adjoint functors: In category theory, a branch of mathematics, the formal criteria for adjoint functors are criteria for the existence of a left or right adjoint of a given functor. One criterion is the following, which first appeared in Peter J. [63%] 2023-11-25 [Adjoint functors]