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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeDec 23rd 2010

    I have added to the Examples at structured (infinity,1)-topos a section Canonical structure sheaves on objects in a big topos.

    For the moment this only contains the observation that for H=Sh(𝒢)\mathbf{H} = Sh(\mathcal{G}) the big topos on a geometry 𝒢\mathcal{G}, for every object XHX \in \mathbf{H} its little topos H/X\mathbf{H}/X is canonically equipped with a 𝒢\mathcal{G}-structure sheaf.

    This is evident from the discussion at etale geometric morphism, but it nevertheless seems to be noteworthy.

    I have added also an inducation on how this canonical structure sheaf is indeed that of 𝒢\mathcal{G}-valued functions on XX. But more details on this would be desireable. But I have to interrupt now.