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Topological entropy and periodic points of a factor of a subshift of finite type

Published online by Cambridge University Press:  22 January 2016

Takashi Shimomura
Takashi Shimomura*
Affiliation:
Department of Mathematics, Faculty of Science, Nagoya University, Chikusa-ku, Nagoya 464, Japan
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Let X be a compact space and f be a continuous map from X into itself. The topological entropy of f, h(f), was defined by Adler, Konheim and McAndrew [1]. After that Bowen [4] defined the topological entropy for uniformly continuous maps of metric spaces, and proved that the two entropies coincide when the spaces are compact. The definition of Bowen is useful in calculating entropy of continuous maps.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 104 , December 1986 , pp. 117 - 127
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1986

References

[ 1 ] Adler, R. L., Konheim, A. G. and McAndrew, M. H., Topological entropy, Trans. Amer. Math. Soc., 114 (1965), 309–319.Google Scholar
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