CHARACTERIZATIONS ON CHAIN RECURRENCES

It is well known that there is a residual subset J of the space of $C^1$-diffeomorphisms on a compact Riemannian manifold M such that the maps f $\mapsto$ chain recurrent set of f and f $\mapsto$ number of chain components of f are continuous on J. In this paper we get the flow version of the above...

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Veröffentlicht in:Taehan Suhakhoe hoebo 2010, Vol.47 (2), p.287-293
Hauptverfasser: Park, Jong-Suh, Ku, Se-Hyun
Format: Artikel
Sprache:kor
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Zusammenfassung:It is well known that there is a residual subset J of the space of $C^1$-diffeomorphisms on a compact Riemannian manifold M such that the maps f $\mapsto$ chain recurrent set of f and f $\mapsto$ number of chain components of f are continuous on J. In this paper we get the flow version of the above results on diffeomorphisms.
ISSN:1015-8634