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Sheafifiable homotopy model categories

Published online by Cambridge University Press:  17 January 2001

TIBOR BEKE
TIBOR BEKE
Affiliation:
Mathematical Institute, Utrecht University, Utrecht, The Netherlands; e-mail: beke@math.uu.nl
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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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 129 , Issue 3 , November 2000 , pp. 447 - 475
Copyright
© 2000 Cambridge Philosophical Society

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