Combinatorial model categories have presentations

Daniel Dugger

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Combinatorial model categories have presentations

Daniel Dugger

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Abstract

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 combinatorial model category can be built up from a category of `generators' and a set of `relations'---that is, any combinatorial model category has a presentation.

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Daniel Dugger. 2000-07-11. Combinatorial model categories have presentations. https://arxiv.org/abs/math/0007068

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