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Mar 10, 2017 at 11:11 comment added HeinrichD So is this question answered?
Jan 19, 2017 at 16:05 comment added მამუკა ჯიბლაძე Yes I believe it does
Jan 19, 2017 at 15:55 comment added Arrow @მამუკაჯიბლაძე Doesn't pullback along effective descent morphisms always reflect isomorphisms?
Jan 19, 2017 at 14:52 comment added მამუკა ჯიბლაძე One direction is clear - take $p=\alpha$. In the other, I think it is enough to require of $p$ that $p^*$ reflects isomorphisms: if $p^*\alpha$ has a global section then it can be used to provide an inverse for $p^*(G\times A\to A\times_BA)$, so the latter is an isomorphism.
Jan 19, 2017 at 13:11 history asked Arrow CC BY-SA 3.0