Publication | Open Access
C<sup>1</sup>-maps having hyperbolic periodic points
16
Citations
7
References
2001
Year
GeometryTopological DynamicAxiom A MapsSet-theoretic TopologyPeriodic PointsTopological PropertyHyperbolic EquationHyperbolic Periodic PointsSingular PointsQuasiconformal Mapping
We show that the $C^1$-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
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