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expanded universal colimits slightly
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 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?
I like the suggestion!
I much prefer your name. Even “stable colimit” would be better than “universal colimit”.
I agree with the name change
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.
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?
Sure.
Ok, I did the rename. I also cross-linked with pullback-stability.
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