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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeMay 25th 2010
   • (edited May 25th 2010)
   • PermaLink
   Author: Urs
   Format: MarkdownItexThe discussion of [[topological localization]] and that at [[(infinity,1)-category of (infinity,1)-sheaves]] for obtaining (oo,1)-sheaf toposes focuses on Grothendieck topologies. In the rest of the nLab, though, we exhibit a certain moral preference for [[coverage]]s. I therefore started a section <a href="http://ncatlab.org/nlab/show/model+structure+on+simplicial+presheaves#LocalizationAtCoverage">Localization at a coverage</a> at [[model structure on simplicial presheaves]], where I state and prove a handful of statements that are useful for understanding this. There is more to be said here, but that's it from me for the moment.

   The discussion of topological localization and that at (infinity,1)-category of (infinity,1)-sheaves for obtaining (oo,1)-sheaf toposes focuses on Grothendieck topologies. In the rest of the nLab, though, we exhibit a certain moral preference for coverages.

   I therefore started a section Localization at a coverage at model structure on simplicial presheaves, where I state and prove a handful of statements that are useful for understanding this.

   There is more to be said here, but that’s it from me for the moment.