The chain recurrent set for maps of the interval

Authors:
Louis Block and John E. Franke

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

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be a continuous map of a compact interval into itself. We show that if the set of periodic points of is a closed set then every chain recurrent point is periodic.

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DOI:
https://doi.org/10.1090/S0002-9939-1983-0687650-2

Article copyright:
© Copyright 1983
American Mathematical Society