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Nov 21, 2011 at 18:54 comment added Buschi Sergio I edit my answere, mine was really a wrong consideration.
Nov 21, 2011 at 18:45 history edited Buschi Sergio CC BY-SA 3.0
deleted 194 characters in body; added 6 characters in body
Nov 21, 2011 at 18:33 comment added Todd Trimble "Too elementary" really is in the eye of the beholder, isn't it? I'd say the question is fine. MO is ready-made for mathematicians asking for confirmation on graduate-level proofs outside their domain of expertise. I'd also say that not noticing a chapter with the vague title of "special limits" would have especial bearing on one's question is quite forgivable. :-)
Nov 21, 2011 at 18:28 comment added topspin1617 Yes, if you saw the comment I wrote already on the other answer, I already realized that the original question wasn't very difficult. I just didn't realize it when I asked. I was still curious about whether things like that could happen more generally, i.e. when a limit/colimit/etc of a subset of objects is enough to determine the same on the whole set, but I'm sorry if that's a silly thing to wonder about.
Nov 21, 2011 at 16:46 history answered Buschi Sergio CC BY-SA 3.0