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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Comparing periodic orbits of maps of the interval

Authors: C. Bernhardt, E. Coven, M. Misiurewicz and I. Mulvey
Journal: Trans. Amer. Math. Soc. 333 (1992), 701-707
MSC: Primary 58F20; Secondary 58F08
MathSciNet review: 1079051
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Abstract: Let $ \pi $ and $ \theta $ be cyclic permutations of finite ordered sets. We say that $ \pi $ forces $ \theta $ if every continuous map of the interval which has a representative of $ \pi $ also has one of $ \theta $. We give a geometric version of Jungreis' combinatorial algorithm for deciding in certain cases whether $ \pi $ forces $ \theta $ .

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Article copyright: © Copyright 1992 American Mathematical Society

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