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arXiv · 0906.0439

On the struture of homeomorphims of the open annulus

Lucien Guillou
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Abstract

Let $h$ be a without fixed point lift to the plane of a homeomorphism of the open annulus isotopic to the identity and without wandering point. We show that $h$ admits a $h$-invariant dense open set $O$ on which it is conjugate to a translation and we study the action of $h$ on the compactly connected components of the closed and without interior set ${\bf R}^2 \setminus O$.

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Lucien Guillou. 2009-06-02. On the struture of homeomorphims of the open annulus. https://arxiv.org/abs/0906.0439

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