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Alonso Perez-Lona (Nov 27 2022 at 23:15):I feel like the answer to this question but I cannot find anything exactly relevant to this. If we have a 3-dim'l mfld M with boundary S, when can we find a fibration S->X->M such that H^2(X,A)=0 for A some group of coefficients? In particular, I am interested in the cases where H^2(M,A) is nontrivial.
John Baez (Nov 28 2022 at 15:06):You're asking when H^2(X,A) = 0 but you're interested in cases where H^2(M,A) is nontrivial?
Notification Bot (Nov 28 2022 at 15:14):This topic was moved here from #general: mathematics > Boundary fibration by Morgan Rogers (he/him).
Alonso Perez-Lona (Nov 28 2022 at 18:17):Yes. I suppose it could be something like starting with the fibration S->MxS->M and somehow killing the H^2(MxS,A) group to get a space X such that that S->X->M is a fibration.