Topologically Stable Chain Recurrence Classes for Diffeomorphisms

Manseob Lee
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Manseob Lee: Department of Mathematics, Mokwon University, Daejeon 302-729, Korea

Mathematics, 2020, vol. 8, issue 11, 1-6

Abstract: 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 C 1 interior of the set of all chain recurrence class-topologically stable diffeomorphisms, then the chain recurrence class is hyperbolic.

Keywords: topologically stable; chain recurrence class; generic; hyperbolic (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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