Manifolds cross a circle (Ex)
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(Created page with "<wikitex>; Suppose that $M$ and $N$ are closed smooth simply-connected manifolds and that there is a diffeomorphism $$ f \colon M \times S^1 \cong N \times S^1.$$ Show that $M...")
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(Created page with "<wikitex>; Suppose that $M$ and $N$ are closed smooth simply-connected manifolds and that there is a diffeomorphism $$ f \colon M \times S^1 \cong N \times S^1.$$ Show that $M...")
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Revision as of 23:10, 25 August 2013
Suppose that and are closed smooth simply-connected manifolds and that there is a diffeomorphism
Show that and are diffeomorphic.
If and are not simply-connected, what condition would you place on the fundamental group to obtain a similar theoroem?