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arXiv · 2501.05969

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

Viktoriya Ozornova·Martina Rovelli
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Abstract

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.

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Viktoriya Ozornova, Martina Rovelli. 2025-01-10. $(\infty,n)$-categories in context. https://arxiv.org/abs/2501.05969

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