Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016
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Bull. Korean Math. Soc. 1999; 36(4): 707-716

Printed December 1, 1999

Copyright © The Korean Mathematical Society.

Positively equicontinuous flows are topologically conjugate to rotation flows

Jong Sook Bae, Kyung Jin Min, Duk Hyon Sung, and Seung Kab Yang

Myongji University, Myongji University, Myongji University, Myongji University

Abstract

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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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