Axiom A systems

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    Dr. Steve Smale, Toyota Technological Institute at Chicago, IL, was invited on 27 October 2010.

    Suppose \(f\) is a diffeomorphism of a compact manifold \(M\ .\) \(f\) satisfies Smale's Axiom A if the set of nonwandering points of \(f\) is hyperbolic and equal to the closure of the periodic points of \(f\ .\)

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