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Free lines for homeomorphisms of the open annulus

Lucien Guillou
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Abstract

Let H be a homeomorphism of the open annulus isotopic to the identity which admits a lift h to the plane without fixed point. 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.

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Lucien Guillou. 2006-03-09. Free lines for homeomorphisms of the open annulus. https://arxiv.org/abs/math/0603213

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