Title of Paper

Th,Ai(Bories homotopiques dans les topos

Author

Denis-Charles Cisinski

AMS Classification numbers

Primary
18G55 (Homotopical Algebra)
18F20 (Presheaves and Sheaves)

Secondary
18E35 (Localization of Categories)
18B25 (Topoi)
18G30 (Simplicial Objects)

Submitted to the J. Pure Appl. Algebra

Address

Institut de Math,Ai(Bmatiques de Jussieu
Universit,Ai (BParis 7
2, place jussieu 75251
Paris cedex O5 France

E-mail

cisinski@math.jussieu.fr

Abstract

The purpose of these notes is to give an
ad hoc construction of a closed model category structure
on a topos inverting an arbitrary small set of arrows. Moreover,
a necessary and sufficient condition for those structures to be
proper is given. As an example, the Joyal closed model category
structure on the category of simplicial objects of a topos
is constructed without the use of (boolean) points.