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Dec 7, 2018 at 10:39 vote accept lolo
Dec 7, 2018 at 10:05 history edited lolo CC BY-SA 4.0
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Dec 7, 2018 at 9:56 answer added Robert Bryant timeline score: 2
Dec 7, 2018 at 8:54 history edited lolo CC BY-SA 4.0
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Dec 7, 2018 at 8:22 comment added mme No. You will need some properness condition to avoid many counterexamples. Imagine a small ball snaking around the unit ball until it has covered everything, and consider this as a map from $(-t,t) \times D^k \cong D^{k+1}$. It is similarly not hard to come up with a smooth local diffeomorphism $D^2 \to D^2$ so that some fibers are points and some are two using essentially the same idea.
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Dec 7, 2018 at 8:10
Dec 7, 2018 at 8:02 history asked lolo CC BY-SA 4.0