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Proceedings of the American Mathematical Society

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

 

 

$ \bar P=\bar R$ for maps of the interval


Authors: Ethan M. Coven and G. A. Hedlund
Journal: Proc. Amer. Math. Soc. 79 (1980), 316-318
MSC: Primary 54H20; Secondary 58F20
DOI: https://doi.org/10.1090/S0002-9939-1980-0565362-0
MathSciNet review: 565362
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Abstract: We show that for continuous maps of a compact interval to itself the closure of the set of periodic points coincides with the closure of the set of recurrent points.


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DOI: https://doi.org/10.1090/S0002-9939-1980-0565362-0
Article copyright: © Copyright 1980 American Mathematical Society