[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2015.28.4.647

ENTROPY, POSITIVELY CONTINUUM-WISE EXPANSIVENESS AND SHADOWING

Lee, Manseob (Department of Mathematics Mokwon University)
Park, Junmi (Department of Mathematics Chungnam National University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.28, no.4, 2015 , pp. 647-651 More about this Journal

Abstract

Let (X, d) be a compact metric space, and let $f:X{\rightarrow}X$ be a continuous map. We consider that if a positively continuum-wise expansiveness continuous map f has the positively shadowing property in the nonwandering set, then the topological entropy is positive.

Keywords

positively continuum-wise expansive; positively measure expansive; entropy; shadowing;

Citations & Related Records

Reference

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