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arXiv 2006-03-09 0 views

Free lines for homeomorphisms of the open annulus

Guillou, Lucien

Original · EN

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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