Geodesic
$C^1$-maps having hyperbolic periodic points
N. Aoki1 ; Kazumine Moriyasu2 ; N. Sumi3
1 Department of Mathematics Tokyo Metropolitan University Minami-Ohsawa 1-1, Hachioji-Shi Tokyo 192-0397, Japan and Faculty of Commerce Chuo University Hachioji-shi Tokyo 192-0393, Japan
2 Department of Mathematics Tokushima University Minamijosanjima 1-1 Tokushima 770-8502, Japan
3 Department of Mathematics Tokyo Metropolitan University Minami-Ohsawa 1-1, Hachioji-Shi Tokyo 192-0397, Japan
Fundamenta Mathematicae, Tome 169 (2001) no. 1, pp. 1-49.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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,
DOI : 10.4064/fm169-1-1
Keywords: interior set maps satisfying following conditions periodic points hyperbolic singular points belonging nonwandering set sinks coincides set axiom maps having cycle property

N. Aoki 1 ; Kazumine Moriyasu 2 ; N. Sumi 3

1 Department of Mathematics Tokyo Metropolitan University Minami-Ohsawa 1-1, Hachioji-Shi Tokyo 192-0397, Japan and Faculty of Commerce Chuo University Hachioji-shi Tokyo 192-0393, Japan
2 Department of Mathematics Tokushima University Minamijosanjima 1-1 Tokushima 770-8502, Japan
3 Department of Mathematics Tokyo Metropolitan University Minami-Ohsawa 1-1, Hachioji-Shi Tokyo 192-0397, Japan 
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N. Aoki; Kazumine Moriyasu; N. Sumi. $C^1$-maps having hyperbolic periodic points. Fundamenta Mathematicae, Tome 169 (2001) no. 1, pp. 1-49. doi : 10.4064/fm169-1-1. http://geodesic.mathdoc.fr/articles/10.4064/fm169-1-1/

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