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A C∞ Denjoy counterexample

Published online by Cambridge University Press:  19 September 2008

Glen Richard Hall
Glen Richard Hall
Affiliation:
School of MathematicsUniversity of MinnesotaMinneapolisMN 55455USA
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Abstract

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In this paper we construct an example of a homeomorphism of the circle onto itself which is C∞, has no periodic points and no dense orbits. Moreover, the homeomorphism will have no more than two points of zero derivative. We alter this example to form a C∞ map of an interval to itself which has homtervals.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 1 , Issue 3 , September 1981 , pp. 261 - 272
Copyright
Copyright © Cambridge University Press 1981

References

REFERENCES

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