The topological entropy of homeomorphisms on one-dimensional continua
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- by Gerald T. Seidler
- Proc. Amer. Math. Soc. 108 (1990), 1025-1030
- DOI: https://doi.org/10.1090/S0002-9939-1990-0946627-3
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Abstract:
We show that the topological entropy of every homeomorphism on a regular curve is zero. Also, we show the existence of nonrational curves admitting homeomorphisms with nonzero topological entropy.References
- R. L. Adler, A. G. Konheim, and M. H. McAndrew, Topological entropy, Trans. Amer. Math. Soc. 114 (1965), 309–319. MR 175106, DOI 10.1090/S0002-9947-1965-0175106-9
Bibliographic Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 108 (1990), 1025-1030
- MSC: Primary 54C70; Secondary 28D20, 54F20, 54H20
- DOI: https://doi.org/10.1090/S0002-9939-1990-0946627-3
- MathSciNet review: 946627