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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeOct 19th 2009
   • PermaLink
   Author: Urs
   Format: MarkdownI expanded and polished the discussion of the abstract definition of of G-principal oo-bundles in an arbitrary (oo,1)-topos at [[principal infinity-bundle]]. Parts of this could/should eventually be moved/copied to [[action]] and [[action groupoid]], but I won't do that now. I'd be interested in comments. One would expect that for the case that the ambient (oo,1)-topos is Top this style of definition should be well known in the literature, but I am not sure if it is. In fact, the examples listed further below in the entry, (the construction by Quillen and the Stasheff-Wirth construction) seems to indicate that this very simple very general nonsense picture has not been conceived as such before. Could that be true?

   I expanded and polished the discussion of the abstract definition of of G-principal oo-bundles in an arbitrary (oo,1)-topos at principal infinity-bundle.

   Parts of this could/should eventually be moved/copied to action and action groupoid, but I won't do that now.

   I'd be interested in comments. One would expect that for the case that the ambient (oo,1)-topos is Top this style of definition should be well known in the literature, but I am not sure if it is. In fact, the examples listed further below in the entry, (the construction by Quillen and the Stasheff-Wirth construction) seems to indicate that this very simple very general nonsense picture has not been conceived as such before. Could that be true?