$(\infty,n)$-categories in context

Fuente: arXiv
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Autori principali: Ozornova, Viktoriya, Rovelli, Martina
Natura: Preprint
Pubblicazione: 2025
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author Ozornova, Viktoriya
Rovelli, Martina
author_facet Ozornova, Viktoriya
Rovelli, Martina
contents This note is a contribution written for the second volume of the Encyclopedia of mathematical physics. We give an informal introduction to the notions of an $(\infty,n)$-category and $(\infty,n)$-functor, discussing some of the different models that implement them. We also discuss the notions of a symmetric monoidal $(\infty,n)$-category and symmetric monoidal $(\infty,n)$-functor, recalling some important results whose statements employ the language of $(\infty,n)$-categories.
format Preprint
id arxiv_https___arxiv_org_abs_2501_05969
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle $(\infty,n)$-categories in context
Ozornova, Viktoriya
Rovelli, Martina
Algebraic Topology
This note is a contribution written for the second volume of the Encyclopedia of mathematical physics. We give an informal introduction to the notions of an $(\infty,n)$-category and $(\infty,n)$-functor, discussing some of the different models that implement them. We also discuss the notions of a symmetric monoidal $(\infty,n)$-category and symmetric monoidal $(\infty,n)$-functor, recalling some important results whose statements employ the language of $(\infty,n)$-categories.
title $(\infty,n)$-categories in context
topic Algebraic Topology
url https://arxiv.org/abs/2501.05969