Théories homotopiques dans les topos, by Denis-Charles Cisinski

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.

• 0599.bib (244 bytes)
• top.dvi (234104 bytes) [November 2, 2002]
• top.dvi.gz (91932 bytes)
• top.pdf (322915 bytes)
• top.ps.gz (264165 bytes)