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Zero-dimensional covers of finite dimensional dynamical systems

Published online by Cambridge University Press:  14 October 2010

John Kulesza
John Kulesza
Affiliation:
George Mason University, Fairfax, Virginia, VA 22030, USA
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Abstract

If (X, f) is a compact metric, finite-dimensional dynamical system with a zero-dimensional set of periodic points, then there is a zero-dimensional compact metric dynamical system (C, g) and a finite-to-one (in fact, at most (n + l)n-to-one) surjection h: C → X such that h o g = f o h. An example shows that the requirement on the set of periodic points is necessary.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 15 , Issue 5 , October 1995 , pp. 939 - 950
Copyright
Copyright © Cambridge University Press 1995

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References

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