[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2016.29.4.657

VARIOUS SHADOWING PROPERTIES FOR INVERSE LIMIT SYSTEMS

Lee, Manseob (Department of Mathematics Mokwon University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.29, no.4, 2016 , pp. 657-661 More about this Journal

Abstract

Let $f:X{\rightarrow}X$ be a continuous surjection of a compact metric space and let ( $X_f,{\tilde{f}}$ ) be the inverse limit of a continuous surjection f on X. We show that for a continuous surjective map f, if f has the asymptotic average, the average shadowing, the ergodic shadowing property then ${\tilde{f}}$ is topologically transitive.

Keywords

shadowing; asymptotic average shadowing; average shadowing; ergodic shadowing; chain transitive; topologically transitive;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
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