English

A Model Structure on the Category of Topological Categories

Algebraic Topology 2011-10-13 v1

Abstract

In this article, we construct a cofibrantly generated Quillen model structure on the category of small topological categories CatTop\mathbf{Cat}_{\mathbf{Top}}. It is Quillen equivalent to the Joyal model structure of (,1)(\infty,1)-categories and the Bergner model structure on CatsSet\mathbf{Cat}_{\mathbf{sSet}}.

Keywords

Cite

@article{arxiv.1110.2695,
  title  = {A Model Structure on the Category of Topological Categories},
  author = {Ilias Amrani},
  journal= {arXiv preprint arXiv:1110.2695},
  year   = {2011}
}