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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeAug 31st 2010
    • CommentRowNumber2.
    • CommentAuthorDavidRoberts
    • CommentTimeAug 31st 2010

    In this sentence:

    Regard UCU \in C under the Yoneda embedding as an object U[C op,sSet] proj,locU \in [C^{op}, sSet]_{proj,loc}. Then a morphism (YX)[C op,sSet](Y \to X) \in [C^{op}, sSet] is a split hypercover of XX if

    should X=UX=U?

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeAug 31st 2010

    Yes, thanks. I have fixed it.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeAug 31st 2010

    I rewrote hypercover. The previous version had been by me long time ago, and it didn’t really cut it. So I removed it and wrote it afresh.

    • CommentRowNumber5.
    • CommentAuthorTodd_Trimble
    • CommentTimeAug 31st 2010

    Urs, when do you find time to sleep?

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeAug 31st 2010

    Urs, when do you find time to sleep?

    Ah, you noticed. I did wake up in the middle of the night today, apparently because I am after all a little bit excited, too: in two hours is the defense of Herman Stel’s master thesis, and while I had helped advise master theses before, this one is the first one where I suggested topic and line of attack. So I feel a bit responsible.

    I didn’t quit know this myself until I woke up at 5:30 tonight finding myself think about a lemma of the thesis involving the homology of hypercovers. ;-)

  1. Updated [DHI] arxiv url.

    Shane

    diff, v3, current