Combinatorial model categories have presentations

Mathematics – Algebraic Topology

Scientific paper

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Scientific paper

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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