English

What is an equivalence in a higher category?

Algebraic Topology 2023-03-02 v1 Category Theory

Abstract

The purpose of this survey is to present in a uniform way the notion of equivalence between strict nn-categories or (,n)(\infty,n)-categories, and inside a strict (n+1)(n+1)-category or (,n+1)(\infty,n+1)-category.

Cite

@article{arxiv.2303.00567,
  title  = {What is an equivalence in a higher category?},
  author = {Viktoriya Ozornova and Martina Rovelli},
  journal= {arXiv preprint arXiv:2303.00567},
  year   = {2023}
}

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R2 v1 2026-06-28T08:54:21.800Z