Recurrent Surface Homeomorphisms
classification
🧮 math.DS
keywords
recurrenthomeomorphismsurfaceadmitcharacteristiccompacteulerexactly
read the original 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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