Left determined model structures for locally presentable categories
Category Theory
2009-06-24 v2 K-Theory and Homology
Abstract
We extend a result of Cisinski on the construction of cofibrantly generated model structures from (Grothendieck) toposes to locally presentable categories and from monomorphism to more general cofibrations. As in the original case, under additional conditions, the resulting model structures are "left determined" in the sense of Rosicky and Tholen.
Keywords
Cite
@article{arxiv.0901.1627,
title = {Left determined model structures for locally presentable categories},
author = {Marc Olschok},
journal= {arXiv preprint arXiv:0901.1627},
year = {2009}
}
Comments
39 pages, LaTeX amsart documentclass, uses amssymb, amsrefs, xy-pic. To appear in Applied Categorical Structures. Comment on updated version: in Lemma 5.2 three misprints are corrected and a half-sentence is added