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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 chain recurrent set for maps of the interval
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by Louis Block and John E. Franke PDF
Proc. Amer. Math. Soc. 87 (1983), 723-727 Request permission

Abstract:

Let $f$ be a continuous map of a compact interval into itself. We show that if the set of periodic points of $f$ is a closed set then every chain recurrent point is periodic.
References
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Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 87 (1983), 723-727
  • MSC: Primary 58F22; Secondary 54H20
  • DOI: https://doi.org/10.1090/S0002-9939-1983-0687650-2
  • MathSciNet review: 687650