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Recurrent Surface Homeomorphisms

Boris Kolev·Marie-Christine Peroueme
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Abstract

An orientation-preserving recurrent homeomorphism of the two-sphere which is not the identity is shown to admit exactly two fixed points. A recurrent homeomorphism of a compact surface with negative Euler characteristic is periodic.

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Boris Kolev, Marie-Christine Peroueme. 2009-03-02. Recurrent Surface Homeomorphisms. https://doi.org/10.1017/s0305004197002272

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