Positively equicontinuous flows are topologically conjugate to rotation flows
Bull. Korean Math. Soc. 1999 Vol. 36, No. 4, 707-716
Jong Sook Bae, Kyung Jin Min, Duk Hyon Sung, and Seung Kab Yang
Myongji University, Myongji University, Myongji University, Myongji University
Abstract : In this paper we study the continuity of rotation numbers of liftings of circle maps with degree one. And apply our result to prove that a positively equicontinuous flow of homeomorphisms on the circle $S^1$ is topologically conjugate to a continuous flow of rotation maps.
Keywords : rotation map, rotation number, positively equicontinuous flow, topologically conjugate
MSC numbers : 58F20
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