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• CommentRowNumber1.
• CommentAuthorTim Campion
• CommentTimeFeb 3rd 2019

Fixed a broken link to Jardine’s lectures.

This article references Jardine’s lectures for a cubical subdivision functor, but I could not find it in this source. Is cubical subdivision described elsewhere?

• CommentRowNumber2.
• CommentAuthorRichard Williamson
• CommentTimeFeb 4th 2019
• (edited Feb 4th 2019)

Seems to be in section 5 of those lectures?

That approach doesn’t seem especially elegant, though. It is enough just to specify what the subdivision functor does to $\square_{\leq 1}$, which can be done very explicitly. One gets everything else (including a right adjoint) from the universal properties. I think I described this once in some ancient nForum posts :-). Edit: think I found the nForum posts, see from #12 here.

• CommentRowNumber3.
• CommentAuthorUrs
• CommentTimeFeb 4th 2019
• (edited Feb 4th 2019)

So I changed the relevant sentence to a more proper citation:

A cubical subdivision functor $sd$ is discussed in Jardine 02, Section 5.

• CommentRowNumber4.
• CommentAuthorDavidRoberts
• CommentTimeFeb 5th 2019

Updated link to Cisinski’s Astérisque monograph, this page used to point to his Paris 13 website, now defunct.

• CommentRowNumber5.
• CommentAuthorTim Campion
• CommentTimeFeb 5th 2019

Ah yes – I think when I initially posted here the link was to a different paper of Jardine’s (there are two of them in the references). I eventually tracked it down and fixed the reference, but forgot to mention it. Sorry for the wild goose chase!