Homotopy locally presentable enriched categories
Category Theory
2019-07-08 v2 Algebraic Topology
Abstract
We develop a homotopy theory of categories enriched in a monoidal model category V. In particular, we deal with homotopy weighted limits and colimits, and homotopy local presentability. The main result, which was known for simplicially-enriched categories, links homotopy locally presentable V-categories with combinatorial model V-categories, in the case where has all objects of V are cofibrant.
Cite
@article{arxiv.1311.3712,
title = {Homotopy locally presentable enriched categories},
author = {Stephen Lack and Jiri Rosicky},
journal= {arXiv preprint arXiv:1311.3712},
year = {2019}
}
Comments
48 pages. Significant changes in v2, especially in the last section