Combinatorial model categories have presentations

Preprint

11 July 2000

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0007068

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.

Keywords

COMBINATORIAL MODEL CATEGORY
QUILLEN EQUIVALENCE
SIMPLICIAL SETS
MODEL CATEGORY

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Version 1, 2000-07-11, ArXiv

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