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Dec 22, 2014 at 13:30 history bounty ended CommunityBot
Dec 20, 2014 at 19:27 vote accept CommunityBot
Dec 19, 2014 at 21:17 comment added Qiaochu Yuan I should mention that when I say "in more general contexts" I have in mind the following general question: you have a functor $F : C \to D$ and an object $c \in C$ to which you apply the functor to get an object $F(c)$. What extra structure does $F(c)$ have that reflects that it was obtained in this way? Said another way, what kind of "descent data" can we attach to $F(c)$? The starting observation is that at the very least we can attach an action of the natural automorphism group or endomorphism monoid of $F$ itself, but we can go farther than this in various ways.
Dec 19, 2014 at 21:12 history edited Qiaochu Yuan CC BY-SA 3.0
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Dec 19, 2014 at 9:09 history edited Qiaochu Yuan CC BY-SA 3.0
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Dec 19, 2014 at 9:04 history answered Qiaochu Yuan CC BY-SA 3.0