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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeMar 8th 2012
    • (edited Mar 8th 2012)

    I have added to (infinity,2)-sheaf a section Examples - Codomain fibration / canonical (∞,2)-sheaf with the statement that for 𝒳\mathcal{X} an (,1)(\infty,1)-topos, the \infty-functor

    A𝒳 /A A \mapsto \mathcal{X}_{/A}

    is always an (,2)(\infty,2)-sheaf with respect to the canonical topology.

    (It’s the (,2)(\infty,2)-sheaf of “unstable quasicoherent (,1)(\infty,1)-sheaves”!)

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeFeb 10th 2016
    • (edited Feb 10th 2016)

    Chris Kapulking kindly points out to me that somebody has finally written down the “local Joyal model structure” on simplicial presheaves, I have added a pointer here: Meadows 15

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