Does anyone know anything about applications of the h-cobordism theorem to dynamical systems?
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$\begingroup$ via Morse theory, there's a really well-known application you might say going the other way, see e.g.: scholarpedia.org/article/… and cited references $\endgroup$– j.c.Aug 24, 2011 at 17:00
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5$\begingroup$ For me, as a not-at-all expert on this, it would be nice if the question was more detailed. While of course I still could not give an answer, I might learn something from reading it. $\endgroup$– user9072Aug 24, 2011 at 17:51
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You might want to look at John Franks's 1982 CBMS monograph (#49) Homology and Dynamical Systems. The $h$-cobordism theorem appears on page 13. It is used in connection with gradient-like flows on manifolds of dimension greater than 5.
answered Aug 24, 2011 at 20:15