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...
- be tempered. It is an observation due to Langlands that establishing functoriality of symmetric powers of automorphic representations of GL(n) will give...
- In algebraic topology, a branch of mathematics, the (singular) homology of a topological space relative to a subspace is a construction in singular homology...
- ( 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...
- 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...
- In mathematics, specifically algebraic topology, an Eilenberg–MacLane space is a topological space with a single nontrivial homotopy group. Let G be a...
- In algebraic topology, singular homology refers to the study of a certain set of algebraic invariants of a topological space X {\displaystyle X} , the...
- the special case of probability measures, this property amounts to functoriality of the Giry monad. A natural "Lebesgue measure" on the unit circle S1...
- In the mathematical discipline of general topology, Stone–Čech compactification (or Čech–Stone compactification) is a technique for constructing a universal...