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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeNov 17th 2009
    • (edited Nov 17th 2009)

    created stub entry for double nerve in reply to this MO question.

    • CommentRowNumber2.
    • CommentAuthorTobyBartels
    • CommentTimeNov 17th 2009
    • (edited Nov 17th 2009)

    Out of curiosity, what did you write in the source to produce that improper HTML? Or did you do it by hand?

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeNov 17th 2009
    • (edited Nov 17th 2009)

    I am afraid I don't know what you mean. Which improper HTML?

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeNov 17th 2009

    Oh, now I get it: I "closed" the hyperlink without using a slash. Fixed now.

  1. I guess we should think of this entry as discussing a restriction of the nerve construction on double categories to 2-categories. But then the leading content should be about double categories. However, I can’t find people using “double nerve”, just “nerve of a double category” as here, p. 5.

    Is there a standard vocabulary?

    • CommentRowNumber6.
    • CommentAuthorvarkor
    • CommentTime3 days ago

    My impression is that the page is describing a different construction than the nerve of a double category (which probably does deserve its own page).

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTime2 days ago

    While the entry is short, it seems quite unambiguous to me. But I have now made the pointers to the two references given more explicit.

    (The terminology seems to be due to Bullejos, Faro & Blanco 2005, just as cited in the entry.)

    That said, I haven’t really invested into this notion and wouldn’t know that I had created this entry (in 2009) if the page history didn’t claim so. So if anyone sees themselves improve on this entry, please don’t hesitate.

    diff, v4, current

  2. Re #6, oh I see. I just assumed it would be the same construction without checking.

    So we ought to add something to nerve of a category.