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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Topological semiconjugacy of piecewise monotone maps of the interval
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by Bill Byers PDF
Trans. Amer. Math. Soc. 276 (1983), 489-495 Request permission

Abstract:

This paper establishes a topological semiconjugacy between two piecewise monotone maps of the interval which have the same kneading sequences and do not map one turning point into another, whenever itineraries under the second map are given uniquely by their invariant coordinate. Various examples are given and consequences obtained.
References
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Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 276 (1983), 489-495
  • MSC: Primary 58F20; Secondary 58F08
  • DOI: https://doi.org/10.1090/S0002-9947-1983-0688956-8
  • MathSciNet review: 688956