Sheafifiable homotopy model categories

Details Sheafifiable homotopy model categories Sheafifiable homotopy model categories

2001-02-11

arxiv.org/abs/math/0102087v1

Mathematical Proceedings of the Cambridge Philosophical Society, vol.129, no.3, pp.447-475, 2000

Mathematics

Category Theory

30 pages

Scientific paper

10.1017/S0305004100004722

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.

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