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Taking as a general definition of Morse-Smale (MS) diffeo:

- finite chain recurrence set

- Kupka-smale (ie transversalit +hyperbolic periodic points)

How would you proove that MS is dense and open in Diff(S1)?

The goal is to have an adapted proof, not use a hammer.

There is de strien book who asks to:

Take p in non-wandering set of f.

- find f1 close to f with p in Per(f1)

- find f2 with p in Per(f2) and hyperbolic

- find f3 with p in Per(f3) and all of its periodic points are hyperbolic

Can you see any logic in this? How would you prove the original statement?

Thanks for your help! :)

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# Morse-Smale dense in Diff

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