Definition of Functoriality. Meaning of Functoriality. Synonyms of Functoriality

Here you will find one or more explanations in English for the word Functoriality. Also in the bottom left of the page several parts of wikipedia pages related to the word Functoriality and, of course, Functoriality synonyms and on the right images related to the word Functoriality.

Definition of Functoriality

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Meaning of Functoriality from wikipedia

- special case of the functoriality conjecture when one of the reductive groups is trivial. Langlands generalized the idea of functoriality: instead of using...
- fundamental groupoid instead of the fundamental group, and this construction is functorial. Algebra of continuous functions A contravariant functor from the category...
- algebra and geometry, including singular homology, have the following functoriality property: if two objects X and Y are connected by a map f, then the...
- of groups, including interpretations of low-dimensional cohomology, functoriality, and how to change groups. The subject of group cohomology began in...
- ( Y ) , {\displaystyle V_{k}(X)\hookrightarrow V_{k}(Y),} and this is functorial. More subtly, given an n-dimensional vector space X, the dual basis construction...
- In mathematics, a D-module is a module over a ring D of differential operators. The major interest of such D-modules is as an approach to the theory of...
- if j = n and is zero otherwise. Compactly supported cohomology is not functorial with respect to arbitrary continuous maps. For a proper map f: Y → X of...
- In algebraic topology, a branch of mathematics, the (singular) homology of a topological space relative to a subspace is a construction in singular homology...
- ring is a field), including a discussion of the universal property, functoriality, duality, and the bialgebra structure. See §III.7 and §III.11. Bryant...
- In the mathematical discipline of general topology, Stone–Čech compactification (or Čech–Stone compactification) is a technique for constructing a universal...