Left determined model structures for locally presentable categories

Details Left determined model structures for locally presentable categories Left determined model structures for locally presentable categories

2009-01-12

arxiv.org/abs/0901.1627v2

Mathematics

Category Theory

39 pages, LaTeX amsart documentclass, uses amssymb, amsrefs, xy-pic. To appear in Applied Categorical Structures. Comment on u

Scientific paper

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.

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