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


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.


Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
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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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