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Functoriality
Перевод слова "functoriality" на Русский язык
functoriality
Существительное
UK
/fʌŋkˌtɔːrɪˈælɪti/
US
/fʌŋkˌtɔriˈælɪti/
functoriality
functorialities множ.
The concept of functoriality is central in category theory.
Понятие функториальности является центральным в теории категорий.
Опеределения
functoriality
Существительное
UK
/fʌŋkˌtɔːrɪˈælɪti/
US
/fʌŋkˌtɔriˈælɪti/
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.