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The rotation set of a homeomorphism of the annulus is closed

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Abstract

We show that the rotation set for any orientation preserving, boundary component preserving homeomorphism of the annulus is closed. In particular, if the homeomorphism is area preserving, then the rotation set is a closed interval.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Lehman College, 10468, Bronx, NY, USA

    Michael Handel

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  1. Michael Handel
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Communicated by J. N. Mather

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Handel, M. The rotation set of a homeomorphism of the annulus is closed. Commun.Math. Phys. 127, 339–349 (1990). https://doi.org/10.1007/BF02096762

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  • DOI: https://doi.org/10.1007/BF02096762

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