ENTROPY, POSITIVELY CONTINUUM-WISE EXPANSIVENESS AND SHADOWING

Title & Authors
ENTROPY, POSITIVELY CONTINUUM-WISE EXPANSIVENESS AND SHADOWING
Lee, Manseob; Park, Junmi;

Abstract
Let (X, d) be a compact metric space, and let $\small{f:X{\rightarrow}X}$ 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
Language
English
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