Abstract
This paper gives a description of all the continuous maps of the circle without periodic point.
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References
Y. Katznelson,Sigma-finite invariant measures for smooth mappings of the circle, J. Analyse Math.31 (1977), 1–18.
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Auslander, J., Katznelson, Y. Continuous maps of the circle without periodic points. Israel J. Math. 32, 375–381 (1979). https://doi.org/10.1007/BF02760466
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DOI: https://doi.org/10.1007/BF02760466