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Communications in Mathematical Physics

, Volume 127, Issue 2, pp 339–349 | Cite as

The rotation set of a homeomorphism of the annulus is closed

  • Michael Handel
Article

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.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • Michael Handel
    • 1
  1. 1.Department of Mathematics and Computer ScienceLehman CollegeBronxUSA

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