• Title/Summary/Keyword: positively equicontiuous flow

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POSITIVELY EQUICONTINUOUS FLOWS ARE TOPOLOGICALLY CONJUGATE TO ROTATION FLOWS

  • Bae, Jong-Sook;Min, Kyung-Jin;Sung, Duk-Hyon;Yang, Seung-Kab
    • Bulletin of the Korean Mathematical Society
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    • v.36 no.4
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    • pp.707-716
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    • 1999

  • In this pater 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.

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