Sheafifiable homotopy model categories
Category Theory
2009-11-07 v1 Algebraic Topology
Abstract
If a Quillen model category can be specified using a certain logical syntax (intuitively, ``is algebraic/combinatorial enough''), so that it can be defined in any category of sheaves, then the satisfaction of Quillen's axioms over any site is a purely formal consequence of their being satisfied over the category of sets. Such data give rise to a functor from the category of topoi and geometric morphisms to Quillen model categories and Quillen adjunctions.
Cite
@article{arxiv.math/0102087,
title = {Sheafifiable homotopy model categories},
author = {Tibor Beke},
journal= {arXiv preprint arXiv:math/0102087},
year = {2009}
}
Comments
30 pages