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Commun. Korean Math. Soc. 2010; 25(2): 257-262
Printed June 1, 2010
https://doi.org/10.4134/CKMS.2010.25.2.257
Copyright © The Korean Mathematical Society.
$C^2$ diffeomorphisms with the inverse shadowing property
Manseob Lee
Mokwon University
Let $f$ be a $C^2$-diffeomorphism on a closed surface which satisfies the Axiom A. Then $f$ is in the $C^2$-interior of the set of all diffeomorphisms having the inverse shadowing property with respect to the class of the continuous methods if and only if $f$ satisfies the strong transversality condition.
Keywords: Axiom A, shadowing property, inverse shadowing, strong transversality condition, hyperbolic, basic set
MSC numbers: 37D20, 37C50
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