Functoriality

Translation of "functoriality" into Russian

functoriality

Noun

functoriality

functorialities pl

функториальность

The concept of functoriality is central in category theory.

Понятие функториальности является центральным в теории категорий.

Definitions

functoriality

Noun

The property of a mathematical function or operation being a functor, which is a mapping between categories that preserves the structure of those categories.

The functoriality of the operation ensures that the relationships between objects are maintained across different categories.

In the Langlands program, the conjectural principle predicting a correspondence between automorphic representations of different reductive groups.

Langlands functoriality suggests a transfer of automorphic forms from the symplectic group to a general linear group.

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Definitions