%0 Journal Article %1 cisinski2002thories %A Cisinski, Denis-Charles %D 2002 %J Journal of Pure and Applied Algebra %K homotopy topos %N 1 %P 43 - 82 %R http://dx.doi.org/10.1016/S0022-4049(01)00176-1 %T Théories homotopiques dans les topos %U http://www.sciencedirect.com/science/article/pii/S0022404901001761 %V 174 %X 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.

@article{cisinski2002thories, 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. }, added-at = {2014-12-20T06:57:31.000+0100}, author = {Cisinski, Denis-Charles}, biburl = {https://www.bibsonomy.org/bibtex/26646672a8445b8bb40ed26f207823e11/t.uemura}, description = {Théories homotopiques dans les topos}, doi = {http://dx.doi.org/10.1016/S0022-4049(01)00176-1}, interhash = {51fcce04d04bb9b6b1a89b40de358908}, intrahash = {6646672a8445b8bb40ed26f207823e11}, issn = {0022-4049}, journal = {Journal of Pure and Applied Algebra }, keywords = {homotopy topos}, number = 1, pages = {43 - 82}, timestamp = {2014-12-20T06:57:31.000+0100}, title = {Théories homotopiques dans les topos }, url = {http://www.sciencedirect.com/science/article/pii/S0022404901001761}, volume = 174, year = 2002 }