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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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Maps of the interval with every point chain recurrent
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by Louis Block and Ethan M. Coven PDF
Proc. Amer. Math. Soc. 98 (1986), 513-515 Request permission

Abstract:

We show that if $f$ is a continuous map of a compact interval to itself and every point is chain recurrent, then either ${f^2}$ is the identity map or ${f^2}$ is turbulent.
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Additional Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 98 (1986), 513-515
  • MSC: Primary 54H20; Secondary 34C35, 54E45, 58F08, 58F20
  • DOI: https://doi.org/10.1090/S0002-9939-1986-0857952-8
  • MathSciNet review: 857952