MathOverflow is a question and answer site for professional mathematicians. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

Does anyone know anything about applications of the h-cobordism theorem to dynamical systems?

share|cite|improve this question
via Morse theory, there's a really well-known application you might say going the other way, see e.g.:… and cited references – j.c. Aug 24 '11 at 17:00
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. – user9072 Aug 24 '11 at 17:51

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.

share|cite|improve this answer
Thank you, Dave! I will look into the book. – stmsy Aug 25 '11 at 19:46

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.