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math.AT2000★ 3 cited
Universal homotopy theories
Daniel Dugger
Given a small category C, we show that there is a universal way of expanding C into a model category, essentially by formally adjoining homotopy colimits. The technique of localiza…
math.AT2000★ 3 cited
Combinatorial model categories have presentations
Daniel Dugger
We show that every combinatorial model category can be obtained, up to Quillen equivalence, by localizing a model category of diagrams of simplicial sets. This says that any combin…