Correction to: Connecting invariant manifolds and the solution of the  stability and -stability conjectures for flows.

Hayashi, Shuhei

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Displaying similar documents to “Correction to: Connecting invariant manifolds and the solution of the $C^{1}$ stability and $Ω$ -stability conjectures for flows.”

On the $C^{1}$ $Ω$ -stability conjecture

Jacob Palis (1987)

Publications Mathématiques de l'IHÉS

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C¹-maps having hyperbolic periodic points

N. Aoki, Kazumine Moriyasu, N. Sumi (2001)

Fundamenta Mathematicae

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We show that the C¹-interior of the set of maps satisfying the following conditions: (i) periodic points are hyperbolic, (ii) singular points belonging to the nonwandering set are sinks, coincides with the set of Axiom A maps having the no cycle property.