Coalgebraic models for combinatorial model categories
arXiv:1403.5303
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.
12 pages; v2: final journal version with minor improvements suggested by the referee