Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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SHADOWABLE CHAIN TRANSITIVE SETS OF C1-GENERIC DIFFEOMORPHISMS

  • Lee, Keon-Hee (Department of Mathematics Chungnam National University) ;
  • Wen, Xiao (Department of Mathematics Beihang University)
  • Received : 2010.07.14
  • Published : 2012.03.31
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Abstract

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

References

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