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Mar 12, 2019 at 2:09 history edited Sergei Akbarov CC BY-SA 4.0
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Nov 2, 2011 at 20:08 vote accept Sergei Akbarov
Nov 1, 2011 at 19:23 comment added Sergei Akbarov I think I should apologize here also. The problem was that initially I wrote "locally small", and only later I edited the text. (Actually it was a surprise for me that the terminology in English is not the same than in Russian.) So explanation given by Anonymous was absolutely correct.
Nov 1, 2011 at 18:57 answer added Andrej Bauer timeline score: 8
Nov 1, 2011 at 17:25 comment added Sergei Akbarov MacLane writes "co-well-powered"...
Nov 1, 2011 at 16:43 history edited Sergei Akbarov CC BY-SA 3.0
added 177 characters in body; edited title
Nov 1, 2011 at 16:34 answer added Buschi Sergio timeline score: 11
Nov 1, 2011 at 16:24 comment added Guillaume Brunerie Or well-copowered?
Nov 1, 2011 at 16:19 comment added Buschi Sergio I think that the right word is cowellpowred
Nov 1, 2011 at 15:47 comment added Anonymous This terminology also occurs and is probably more popular. In "CFWM" Maclane suggested not to use "locally small", because it may lead to confusion(as we saw here he predicted well). I was only trying to explain what Sergei Akbarov meant.
Nov 1, 2011 at 14:29 comment added Guillaume Brunerie For me, if every object has a (small) set of subobjects, the category is called well-powered.
Nov 1, 2011 at 13:51 vote accept Sergei Akbarov
Nov 1, 2011 at 13:51
Nov 1, 2011 at 13:23 comment added Anonymous There are at least two different meaninigs of locally small category in mathematics. One is that a category has small hom-sets and other is that set of subobjects is small for all objects. His question is if ring has small set of quotient objects.
Nov 1, 2011 at 12:57 answer added Guillaume Brunerie timeline score: 4
Nov 1, 2011 at 12:54 history asked Sergei Akbarov CC BY-SA 3.0