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 Limit weak shadowable transitive sets of $C^1$-generic diffeomorphisms Commun. Korean Math. Soc. 2012 Vol. 27, No. 3, 613-619 https://doi.org/10.4134/CKMS.2012.27.3.613Printed September 1, 2012 Manseob Lee and Gang Lu Mokwon University, ShenYang University of Technology 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. Keywords : weak shadowing, limit weak shadowing, transitive set, hyperbolic, generic MSC numbers : 37B20, 37C50, 37D30 Downloads: Full-text PDF

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