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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeNov 27th 2013

    somebody asked me for the proof of the claim at canonical topology that for a Grothendieck topos H\mathbf{H} we have HSh can(H)\mathbf{H} \simeq Sh_{can}(\mathbf{H}).

    I have added to the entry pointers to the proof in Johnstone’s book, and to related discussion for \infty-toposes. Myself I don’t have more time right now, but maybe somebody feels inspired to write out some details in the nLab entry itself?

    • CommentRowNumber2.
    • CommentAuthorZhen Lin
    • CommentTimeNov 27th 2013

    You could copy-paste from my answer here. The proof in the Elephant is for a more general situation.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeNov 27th 2013

    Okay, did that.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeAug 26th 2021
    • (edited Aug 26th 2021)

    added pointer to:

    diff, v12, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeApr 16th 2023

    added the arXiv link for this item:

    diff, v13, current