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Sep 18, 2011 at 2:47 comment added Mariano Suárez-Álvarez I don't seem to be able to produce an example in which everything in sight is a manifold.
Sep 18, 2011 at 1:30 comment added Alexei Averchenko Yes, this is a great counter example!
Sep 18, 2011 at 1:30 vote accept Alexei Averchenko
Sep 18, 2011 at 1:20 comment added Mariano Suárez-Álvarez You'll complain, probably, that the total space of $\xi$ in these examples is not a manifold...
Sep 18, 2011 at 1:18 history edited Mariano Suárez-Álvarez CC BY-SA 3.0
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Sep 18, 2011 at 1:12 history answered Mariano Suárez-Álvarez CC BY-SA 3.0