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Recurrent surface homeomorphisms

Published online by Cambridge University Press:  01 July 1998

B. KOLEV  and
M.-C. PÉROUÈME
B. KOLEV
Affiliation:
I.N.L.N. UMR CNRS 129, 1361 route des Lucioles, 06560 Valbonne, France
M.-C. PÉROUÈME
Affiliation:
I.N.L.N. UMR CNRS 129, 1361 route des Lucioles, 06560 Valbonne, France
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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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 124 , Issue 1 , July 1998 , pp. 161 - 168
Copyright
Cambridge Philosophical Society 1998

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