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Comparing Periodic Orbits of Maps of the Interval

C. Bernhardt, E. Coven, M. Misiurewicz and I. Mulvey
Transactions of the American Mathematical Society
Vol. 333, No. 2 (Oct., 1992), pp. 701-707
DOI: 10.2307/2154055
Stable URL: http://www.jstor.org/stable/2154055
Page Count: 7
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Comparing Periodic Orbits of Maps of the Interval
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Abstract

Let π and θ be cyclic permutations of finite ordered sets. We say that π forces θ if every continuous map of the interval which has a representative of π also has one of θ. We give a geometric version of Jungreis' combinatorial algorithm for deciding in certain cases whether π forces θ.

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