7 окт. 2024 г. · A rigid (monoidal) category, also called an autonomous (monoidal) category is a kind of category with duals. In particular, a rigid monoidal ...

In category theory, a branch of mathematics, a rigid category is a monoidal category where every object is rigid, that is, has a dual X* and a morphism 1 → X ...

17 сент. 2022 г. · A braided monoidal category has right-duals if and only if it is a rigid monoidal category. Proof. A proof sketch is given by the following ...

17 февр. 2024 г. · 1. Definition. An object x in a category C is said to be rigid if its automorphism group is trivial, in other words if any isomorphism f : x ≅ ...

3 авг. 2020 г. · I am trying to understand the relationship between rigid monoidal categories and closed monoidal categories. First every rigid monoidal category ... Rigid monoidal abelian category without an exact tensor functor to ... A question about rigid objects in monoidal categories - MathOverflow Другие результаты с сайта mathoverflow.net

20 мая 2021 г. · A rigid monoidal category is a monoidal category where every object has both left and right duals. Is there a precise definition of rigid ...

11 янв. 2022 г. · We study general pre-rigid monoidal categories. Roughly speaking, these are monoidal categories in which for every object X, an object X^{\ast} and a nicely ...

The purpose of this paper is to prove that the stable homotopy category of algebraic topology is 'rigid' in the sense that it admits essentially only one model:.

15 февр. 2019 г. · An object X ∈ T is called rigid if Hom T ( X , X [ 1 ] ) = 0 . It is maximal rigid if it is rigid and for each Z ∈ T , the condition Hom T ( X ⊕ ...

... Pre-rigid categories. A monoidal category (C, ⊗, ½, a, l, r) is called pre-rigid [8, 13] if for every object A in C there exists a fixed object A * and a ...