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Apr 16, 2013 at 17:24 comment added Mikhail Borovoi @DavidRoberts: Thank you for your detailed answer. This is exactly the kind of answer that I wanted to get!
Apr 16, 2013 at 4:43 history edited David Roberts CC BY-SA 3.0
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Apr 15, 2013 at 22:51 comment added David Roberts Whoops, you're right. And isomorphisms are bijections in this case.
Apr 15, 2013 at 13:48 vote accept Mikhail Borovoi
Apr 15, 2013 at 11:49 comment added Mikhail Borovoi Probably when you write "such that $\pi(a(p,f))=\pi(a)$", you mean $\pi(a(p,f))=\pi(p)$. When you write "in addition, we demand that the map $\dots$ is an isomorphism", you mean a bijection. Is this correct?
Apr 15, 2013 at 10:50 history edited David Roberts CC BY-SA 3.0
deleted 79 characters in body
Apr 15, 2013 at 10:45 comment added David Roberts Yes, it's a typo. I'm going to improve the post..
Apr 15, 2013 at 10:31 comment added Mikhail Borovoi I do not understand the line: "isomorphic to $T\times_X S$ for some map $T\to X$". What is the map $S\to X$ in the fibered product? Is it a typo?
Apr 15, 2013 at 7:00 history answered David Roberts CC BY-SA 3.0