LIMIT WEAK SHADOWABLE TRANSITIVE SETS OF C1-GENERIC DIFFEOMORPHISMS

• Lee, Man-Seob (Department of Mathematics Mokwon University) ;
• Lu, Gang (Department of Mathematics, School of Science ShenYang University of Technology)
• Published : 2012.07.31

Abstract

In this paper, we prove that locally maximal transitive set of a $C^1$-generic diffeomorphism is hyperbolic if and only if it is limit weak shadowable.

Acknowledgement

Supported by : National Research Foundation of Korea (NRF)

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