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May 6, 2013 at 12:25 answer added John Klein timeline score: 5
May 6, 2013 at 4:39 vote accept Theo Johnson-Freyd
May 6, 2013 at 0:29 comment added Lennart Meier Fibering is a highly subtle question in general as the difficulty of the virtual fibering conjecture shows. If we substitute your question by the question whether the manifold fibers up to homotopy, then slightly more might be known. You might check out arxiv.org/pdf/0901.1250.pdf and miami.uni-muenster.de/servlets/DerivateServlet/Derivate-5587/…
May 5, 2013 at 21:34 history edited Ricardo Andrade CC BY-SA 3.0
fixed spelling error
May 5, 2013 at 21:16 comment added Misha Just take connected sum of two even-dimensional manifolds with Euler characteristics $-k, k+2$, where $k$ is positive.
May 5, 2013 at 20:36 answer added Andy Putman timeline score: 10
May 5, 2013 at 19:01 history asked Theo Johnson-Freyd CC BY-SA 3.0