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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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
MathSciNet review: 687650
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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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1983-0687650-2
PII: S 0002-9939(1983)0687650-2
Article copyright: © Copyright 1983 American Mathematical Society