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Ω-Stability is not dense in Axiom A
Published online by Cambridge University Press: 19 September 2008
Abstract
An example of a diffeomorphism f on a three dimensional manifold M3 is constructed so that f satisfies Axiom A, has a cycle and f has a neighborhood N in Diffr (M3) so that each g in N is not Ω-stable. Existing techniques allow one to extend this example to any compact manifold of dimension greater than two.
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