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Free lines for homeomorphisms of the open annulus
Author(s):
Lucien
Guillou
Journal:
Trans. Amer. Math. Soc.
360
(2008),
2191-2204.
MSC (2000):
Primary 37E30
Posted:
November 28, 2007
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Abstract:
Let  be a homeomorphism of the open annulus  isotopic to the identity and let  be a lift of  to the universal cover  without fixed point. Then we show that  admits a Brouwer line which is a lift of a properly imbedded line joining one end to the other in the annulus or  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
DOI:
10.1090/S0002-9947-07-04374-7
PII:
S 0002-9947(07)04374-7
Keywords:
Brouwer homeomorphism,
free line,
fixed point,
open annulus,
torus,
Poincar\'e-Birkhoff Theorem
Received by editor(s):
June 14, 2006
Posted:
November 28, 2007
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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