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Let $h$ be a without fixed point lift to the plane of a homeomorphism of theopen 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 atranslation and we study the action of $h$ on the compactly connectedcomponents of the closed and without interior set ${\bf R}^2 \setminus O$.

On the struture of homeomorphims of the open annulus