Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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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)
  • Received : 2011.06.02
  • Published : 2012.07.31
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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.

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References

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