Geodesic
The local Joyal model structure
Theory and applications of categories, Tome 31 (2016), pp. 690-711.

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

The Joyal model structure on simplicial sets is extended to a model structure on the simplicial presheaves on a small site, in which the cofibrations are monomorphisms and the weak equivalences are local (or stalkwise) Joyal equivalences. The model structure is shown to be left proper.
Publié le :
Classification : 18G30, 18F20, 55U35
Keywords: simplicial presheaves, quasi-categories, model structure duality, trace, derivator, absolute colimit 
@article{TAC_2016_31_a23,
     author = {Nicholas J. Meadows},
     title = {The local {Joyal} model structure},
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     publisher = {mathdoc},
     volume = {31},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2016_31_a23/}
}
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Nicholas J. Meadows. The local Joyal model structure. Theory and applications of categories, Tome 31 (2016), pp. 690-711. http://geodesic.mathdoc.fr/item/TAC_2016_31_a23/