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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The topological entropy of homeomorphisms on one-dimensional continua
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by Gerald T. Seidler PDF
Proc. Amer. Math. Soc. 108 (1990), 1025-1030 Request permission

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.
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Additional 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