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

In this sentence:

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

should $X=U$?

• 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