Free lines for homeomorphisms of the open annulus
2007
Let H be a homeomorphism of the open annulus S 1 × R isotopic to the identity and let h be a lift of H to the universal cover R x 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.
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