paper

Left determined model structures for locally presentable categories

arXiv:0901.1627

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.

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

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