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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeMay 28th 2010

    expanded universal colimits slightly

    • CommentRowNumber2.
    • CommentAuthorMike Shulman
    • CommentTimeFeb 25th 2018

    I moved some stuff to this page that used to be at commutativity of limits and colimits, replacing some stuff that was here already (hoping in particular to make it look less \infty and thus less frightening to the casual reader).

    I would also like to rename this page to pullback-stable colimit (keeping a redirect of course). I prefer that terminology because I find it more obvious what it means, and also because (as we all know) “universal” has another very different meaning in category theory. What do people think?

  1. I like the suggestion!

    • CommentRowNumber4.
    • CommentAuthorTodd_Trimble
    • CommentTimeFeb 25th 2018

    I much prefer your name. Even “stable colimit” would be better than “universal colimit”.

    • CommentRowNumber5.
    • CommentAuthorDavidRoberts
    • CommentTimeFeb 25th 2018

    I agree with the name change

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeFeb 26th 2018
    • (edited Feb 26th 2018)

    The trouble is that “colimits are universal” is a long established technical term for “colimits are stable under pullback”. If we propose changing it, let’s just make sure that the original term is still prominently highlighted, so that it can be searched for and found.

    • CommentRowNumber7.
    • CommentAuthorMike Shulman
    • CommentTimeFeb 26th 2018

    Urs, I wouldn’t be changing the text of the page any more, only the name. Does the current version have it sufficiently prominently for you?

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeFeb 26th 2018

    Sure.

    • CommentRowNumber9.
    • CommentAuthorMike Shulman
    • CommentTimeFeb 26th 2018

    Ok, I did the rename. I also cross-linked with pullback-stability.