English

Cubical model categories and quasi-categories

Category Theory 2021-04-21 v3 Algebraic Topology

Abstract

The goal of this article is to emphasize the role of cubical sets in enriched categories theory and infinity-categories theory. We show in particular that categories enriched in cubical sets provide a convenient way to describe many infinity-categories appearing in the context of homological algebra.

Keywords

Cite

@article{arxiv.1807.00153,
  title  = {Cubical model categories and quasi-categories},
  author = {Brice Le Grignou},
  journal= {arXiv preprint arXiv:1807.00153},
  year   = {2021}
}

Comments

30 pages, version TAC with a minor error correction

R2 v1 2026-06-23T02:46:50.455Z