Free lines for homeomorphisms of the open annulus
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- by Lucien Guillou PDF
- Trans. Amer. Math. Soc. 360 (2008), 2191-2204 Request permission
Abstract:
Let $H$ be a homeomorphism of the open annulus $S^1 \times \textbf {R}$ isotopic to the identity and let $h$ be a lift of $H$ to the universal cover $\textbf {R} \times \textbf {R}$ without fixed point. Then we show that $h$ admits a Brouwer line which is a lift of a properly imbedded line joining one end to the other in the annulus or $H$ admits a free essential simple closed curve.References
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Additional Information
- Lucien Guillou
- Affiliation: Institut Fourier B.P. 74, Université Grenoble 1, Saint-Martin-d’Hères 38402 cedex France
- Email: lguillou@ujf-grenoble.fr
- Received by editor(s): June 14, 2006
- Published electronically: November 28, 2007
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 360 (2008), 2191-2204
- MSC (2000): Primary 37E30
- DOI: https://doi.org/10.1090/S0002-9947-07-04374-7
- MathSciNet review: 2366979