Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2012; 49(2): 263-270

Printed March 1, 2012

https://doi.org/10.4134/BKMS.2012.49.2.263

Copyright © The Korean Mathematical Society.

Shadowable chain transitive sets of $C^1$-generic diffeomorphisms

Keonhee Lee and Xiao Wen

Chungnam National University, Beihang University

Abstract

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We prove that a locally maximal chain transitive set of a $C^1$-generic diffeomorphism is hyperbolic if and only if it is shadowable.

Keywords: chain transitive, generic, hyperbolic, shadowable

MSC numbers: 37B20, 37C50, 37D30

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