English

A model category structure on the category of simplicial categories

Algebraic Topology 2007-05-23 v2 Category Theory

Abstract

In this paper we put a cofibrantly generated model category structure on the category of small simplicial categories. The weak equivalences are a simplicial analogue of the notion of equivalence of categories.

Keywords

Cite

@article{arxiv.math/0406507,
  title  = {A model category structure on the category of simplicial categories},
  author = {Julia E. Bergner},
  journal= {arXiv preprint arXiv:math/0406507},
  year   = {2007}
}

Comments

16 pages, revised version has proof of right properness and a few minor changes; to appear in Transactions of the AMS

R2 v1 2026-07-22T17:07:09.281Z