Open Access
December 1999 An equivalent condition for continuous maps of a class of continua to have zero topological entropy
Jie Lu, Jincheng Xiong, Xiangdong Ye
Tsukuba J. Math. 23(3): 539-550 (December 1999). DOI: 10.21099/tkbjm/1496163978

Abstract

Extending the famous Bowen-Franks-Misiurewicz's theorem concerning the topological entropy of continuous maps of an interval we prove that continuous maps of a class of continua have zero topological entropy if and only if the periods of all periodic points are powers of 2.

Citation

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Jie Lu. Jincheng Xiong. Xiangdong Ye. "An equivalent condition for continuous maps of a class of continua to have zero topological entropy." Tsukuba J. Math. 23 (3) 539 - 550, December 1999. https://doi.org/10.21099/tkbjm/1496163978

Information

Published: December 1999
First available in Project Euclid: 30 May 2017

zbMATH: 1106.37302
MathSciNet: MR1736572
Digital Object Identifier: 10.21099/tkbjm/1496163978

Rights: Copyright © 1999 University of Tsukuba, Institute of Mathematics

Vol.23 • No. 3 • December 1999
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