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Covariant Model Structures and Simplicial Localization | | Danny Stevenson
; | | Date: |
15 Dec 2015 | | Abstract: | In this paper we prove that for any simplicial set $B$, there is a Quillen
equivalence between the covariant model structure on $mathbf{S}/B$ and a
certain localization of the projective model structure on the category of
simplicial presheaves on the simplex category $Delta/B$ of $B$. We extend this
result to give a Quillen equivalence between the covariant model structure and
the projective model structure on the category of simplicial presheaves on a
certain simplicial category obtained via a hammock localization of $Delta/B$.
Along the way we prove some results on localizations of simplicial categories
and quasi-categories. | | Source: | arXiv, 1512.4815 | | Services: | Forum | Review | PDF | Favorites | |
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