Semiconjugacies to angle-doubling
نویسندگان
چکیده
منابع مشابه
Semiconjugacies to angle-doubling
A simple consequence of a theorem of Franks says that whenever a continuous map, g, is homotopic to angle doubling on the circle it is semiconjugate to it. We show that when this semiconjugacy has one disconnected point inverse, then the typical point in the circle has a point inverse with uncountably many connected components. Further, in this case the topological entropy of g is strictly larg...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2005
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-05-08381-4