Topologically Stable Chain Recurrence Classes for Diffeomorphisms

Topologically Stable Chain Recurrence Classes for Diffeomorphisms

Let f:M→M be a diffeomorphism of a finite dimension, smooth compact Riemannian manifold M. In this paper, we demonstrate that if a diffeomorphism f lies within the C1 interior of the set of all chain recurrence class-topologically stable diffeomorphisms, then the chain recurrence class is hyperbolic...

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Veröffentlicht in:Mathematics (Basel) 2020-11, Vol.8 (11), p.1912
1. Verfasser: Lee, Manseob
Format: Artikel
Sprache:eng
Schlagworte:
chain recurrence class
generic
hyperbolic
topologically stable
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Zusammenfassung:Let f:M→M be a diffeomorphism of a finite dimension, smooth compact Riemannian manifold M. In this paper, we demonstrate that if a diffeomorphism f lies within the C1 interior of the set of all chain recurrence class-topologically stable diffeomorphisms, then the chain recurrence class is hyperbolic.
ISSN:2227-7390
2227-7390
DOI:10.3390/math8111912