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http://dx.doi.org/10.4134/BKMS.2012.49.2.263

SHADOWABLE CHAIN TRANSITIVE SETS OF C1-GENERIC DIFFEOMORPHISMS  

Lee, Keon-Hee (Department of Mathematics Chungnam National University)
Wen, Xiao (Department of Mathematics Beihang University)
Publication Information
Bulletin of the Korean Mathematical Society / v.49, no.2, 2012 , pp. 263-270 More about this Journal
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
chain transitive; generic; hyperbolic; shadowable;
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