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Proceedings of the American Mathematical Society

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

 
 

 

Periodic points and topological entropy of maps of the circle


Author: Chris Bernhardt
Journal: Proc. Amer. Math. Soc. 87 (1983), 516-518
MSC: Primary 58F20; Secondary 28D20, 54C70
DOI: https://doi.org/10.1090/S0002-9939-1983-0684649-7
MathSciNet review: 684649
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Abstract: Let $ f$ be a continuous map from the circle to itself, let $ P(f)$ denote the set of integers $ n$ for which $ f$ has a periodic point of period $ n$. In this paper it is shown that the two smallest numbers in $ P(f)$ are either coprime or one is twice the other.


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DOI: https://doi.org/10.1090/S0002-9939-1983-0684649-7
Article copyright: © Copyright 1983 American Mathematical Society

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