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There is a page named "Fiber functor" on Wikipedia
- Fiber functors in category theory, topology and algebraic geometry refer to several loosely related functors that generalise the functors taking a covering...6 KB (789 words) - 07:46, 15 November 2023
- gist of the theory is that the fiber functor Φ of the Galois theory is replaced by an exact and faithful tensor functor F from C to the category of finite-dimensional...7 KB (834 words) - 08:08, 15 March 2024
- Limit (category theory) (redirect from Continuous functor)Formally, a diagram of shape J {\displaystyle J} in C {\displaystyle C} is a functor from J {\displaystyle J} to C {\displaystyle C} : F : J → C . {\displaystyle...28 KB (4,352 words) - 03:41, 22 March 2024
- In mathematics, the direct image functor is a construction in sheaf theory that generalizes the global sections functor to the relative case. It is of fundamental...7 KB (969 words) - 22:18, 15 December 2022
- Fibred category (redirect from Fibered category){F}}_{c}} , and a morphism d → c {\displaystyle d\to c} induces a functor from the fibered category structure. Namely, for an object x ∈ Ob ( F c ) {\displaystyle...29 KB (5,041 words) - 00:34, 6 March 2024
- geometry, a functor represented by a scheme X is a set-valued contravariant functor on the category of schemes such that the value of the functor at each...9 KB (1,197 words) - 12:52, 17 July 2024
- number fields and mixed-characteristic local fields. Class field theory Fiber functor Neukirch–Uchida theorem Belyi's theorem Frobenioid Inter-universal Teichmüller...11 KB (1,234 words) - 22:46, 22 June 2024
- this is a part of the study of atomic toposes. Tannakian formalism Fiber functor Anabelian geometry Grothendieck, A.; et al. (1971). SGA1 Revêtements...4 KB (569 words) - 23:59, 12 February 2024
- Pushout (category theory) (redirect from Fiber coproduct)category theory, a branch of mathematics, a pushout (also called a fibered coproduct or fibered sum or cocartesian square or amalgamated sum) is the colimit...13 KB (1,947 words) - 16:17, 14 September 2023
- Topos (redirect from Logical functor)Presh(D) denotes the category of contravariant functors from D to the category of sets; such a contravariant functor is frequently called a presheaf. Giraud's...32 KB (4,267 words) - 09:31, 11 July 2024
- Assembly map (redirect from Excisive functor)an assembly map is a universal approximation of a homotopy invariant functor by a homology theory from the left. From the geometric viewpoint, assembly...5 KB (815 words) - 11:09, 27 March 2022
- Pullback (section Fiber-product)section of the pullback (fiber-product) bundle f ∗ E {\displaystyle f^{*}E} over M . {\displaystyle M.} Inverse image functor – functor between categories of...3 KB (483 words) - 10:31, 29 April 2022
- In the mathematical field of topology, a section (or cross section) of a fiber bundle E {\displaystyle E} is a continuous right inverse of the projection...8 KB (1,138 words) - 21:29, 28 May 2024
- Outline of category theory (section Functors)Combinatorial species Exact functor Derived functor Dominant functor Enriched functor Kan extension of a functor Hom functor Product (category theory) Equaliser...5 KB (402 words) - 15:20, 29 March 2024
- Pullback (category theory) (redirect from Fiber product)theory, a branch of mathematics, a pullback (also called a fiber product, fibre product, fibered product or Cartesian square) is the limit of a diagram consisting...15 KB (1,978 words) - 02:10, 30 July 2024
- continuous functor sends covering sieves to covering sieves. If J is the topology defined by a pretopology, and if u commutes with fibered products, then...31 KB (4,520 words) - 20:47, 27 March 2024
- Sheaf (mathematics) (redirect from Global section functor)direct image functor, taking sheaves and their morphisms on the domain to sheaves and morphisms on the codomain, and an inverse image functor operating in...68 KB (10,957 words) - 17:56, 23 July 2024
- Triangulated category (redirect from Triangulated functor)category is a category with the additional structure of a "translation functor" and a class of "exact triangles". Prominent examples are the derived category...37 KB (5,798 words) - 16:45, 2 September 2023
- involves a functor, the nearby cycle functor, with a definition by means of the higher direct image and pullbacks. The vanishing cycle functor then sits...4 KB (456 words) - 09:23, 19 August 2022
- indiscrete spaces is continuous, both of these functors give full embeddings of Set into Top. Top is also fiber-complete meaning that the category of all topologies...11 KB (1,351 words) - 14:29, 4 July 2024
- question. One can relate these categories in a partial order via forgetful functors: “forgetting additional structure”. For instance, a Riemannian manifold