vix.ing · top · new · best · stats · spec

(∞,n)-categories in context

2025/01/10 by Viktoriya Ozornova, Ozornova, Viktoriya, Martina Rovelli +1
Mathematics · Medicine · #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Intracranial Aneurysms: Treatment and Complications

paper · pdf · doi:10.48550/arxiv.2501.05969

openalex publication_date 2025/01/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 (∞,n)-category and (∞,n)-functor, discussing some of the different models that implement them. We also discuss the notions of a symmetric monoidal (∞,n)-category and symmetric monoidal (∞,n)-functor, recalling some important results whose statements employ the language of (∞,n)-categories.

Related