Coalgebraic models for combinatorial model categories
Algebraic Topology
2014-09-09 v2 Category Theory
Abstract
We show that the category of algebraically cofibrant objects in a combinatorial and simplicial model category A has a model structure that is left-induced from that on A. In particular it follows that any presentable model category is Quillen equivalent (via a single Quillen equivalence) to one in which all objects are cofibrant.
Cite
@article{arxiv.1403.5303,
title = {Coalgebraic models for combinatorial model categories},
author = {Michael Ching and Emily Riehl},
journal= {arXiv preprint arXiv:1403.5303},
year = {2014}
}
Comments
12 pages; v2: final journal version with minor improvements suggested by the referee