JP Journal of Geometry and Topology
Volume 4, Issue 1, Pages 1 - 12
(March 2004)
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REVERSIBILITY OF CIRCLE HOMEOMORPHISMS AND FLOWS
S. K. Yang (Korea), J. S. Bae (Korea), K. J. Min (Korea), H. Y. Byun (Korea) and H. J. Shim (Korea)
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Abstract:
In this paper, we study sufficient conditions for the reversibility of circle homeomorphisms. We show that every homeomorphism of the circle, which has only one periodic orbit, is continuously reversible. And we prove that a positively equicontinuous flow is continuously reversible. |
| Keywords and phrases: involution, reversible, topologically conjugate, positively equicontinuous flow. |
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