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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeFeb 19th 2010
   • PermaLink
   Author: Urs
   Format: MarkdownI am re-reading Simpson/Teleman's "de Rham theorem for oo-stacks" and realize what I missed on first reading: they have essentually the statement that I produced recently, that oo-stacks on a site with "geometrically contractible" objects form a [[localy contractible (infinity,1)-topos]] in that the terminal geometric morphism is essential. They say this (slightly implicitly) at the level of homotopy cateories on <a href="http://math.berkeley.edu/~teleman/math/simpson.pdf#page=5">page 5</a>. I briefly recorded this in a somewhat stubby way now at <a href="http://ncatlab.org/nlab/show/locally+n-connected+(infinity%2C1)-topos#InfCase">locally contracible (oo,1)-topos - Examples</a>

   I am re-reading Simpson/Teleman's "de Rham theorem for oo-stacks" and realize what I missed on first reading:

   they have essentually the statement that I produced recently, that oo-stacks on a site with "geometrically contractible" objects form a localy contractible (infinity,1)-topos in that the terminal geometric morphism is essential.

   They say this (slightly implicitly) at the level of homotopy cateories on page 5.

   I briefly recorded this in a somewhat stubby way now at locally contracible (oo,1)-topos - Examples

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeFeb 19th 2010
   • PermaLink
   Author: Urs
   Format: MarkdownAdded this remark also to <a href="http://ncatlab.org/nlab/show/homotopy+groups+in+an+(infinity%2C1)-topos#LocalContractionRef">homtopy groups in an (oo,1)-topos - Geometric version -- By local contractions -- References</a>

   Added this remark also to homtopy groups in an (oo,1)-topos - Geometric version -- By local contractions -- References