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1.Suppose f is a diffeomorphism.Prove that all hyperbolic periodic points are isolated.

2.Show via an example that hyperbolic periodic points need not be isolated.

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    Seems to me you won't be able to do both...2012-09-24
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    (1) is a corollary of the Hartman-Grobman theorem. (2) should probably be "non-hyperbolic periodic points need not be isolated". Then, the example is trivial.2012-09-24
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    Robert Israel can you tell me which corollary of the Hartman-Grobman theorem?2013-10-04

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