On the homotopy theory of enriched categories
Algebraic Topology
2016-04-04 v3 Category Theory
Abstract
We give sufficient conditions for the existence of a Quillen model structure on small categories enriched in a given monoidal model category. This yields a unified treatment for the known model structures on simplicial, topological, dg- and spectral categories. Our proof is mainly based on a fundamental property of cofibrant enriched categories on two objects, stated below as the Interval Cofibrancy Theorem.
Keywords
Cite
@article{arxiv.1201.2134,
title = {On the homotopy theory of enriched categories},
author = {Clemens Berger and Ieke Moerdijk},
journal= {arXiv preprint arXiv:1201.2134},
year = {2016}
}
Comments
v3: statement of Lemma 2.15 corrected