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Nov 24, 2009 at 1:01 comment added user709 Let me be a little more specific. Let's say I just saw Freyd-Mitchell in Weibel's book, and he says the theorem needs the abelian category to be small. Can I just ignore that? And in any case, I feel so strange about it: what can go wrong when the abelian category is large? Questions like this come up from time to time, and I'm just not sure if they acn be ignored.
Nov 23, 2009 at 21:12 comment added Greg Stevenson Transfinite induction and regular cardinals (can) come up in the theory of triangulated categories. This is actually also an area where one really does need to be concerned about local smallness of categories.
Nov 23, 2009 at 19:02 history edited David E Speyer CC BY-SA 2.5
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Nov 23, 2009 at 18:31 history answered David E Speyer CC BY-SA 2.5