منابع مشابه
Recurrent Surface Homeomorphisms
An orientation-preserving recurrent homeomorphism of the twosphere 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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We prove that if f is an orientation-preserving homeomorphism of a closed orientable surface M whose singular set Σ(f) is totally disconnected, then f is topologically conjugate to a conformal transformation.
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The purpose of this article is to give a brief and elementary approach to the classification of mapping-classes for a surface with negative Euler characteristic. Work of Thurston ([9], [10], [7]) has brought out a deep analogy with the classical structure of the modular group SL2(Z) acting on the upper half plane H by constructing a completion of L, the space of simple loops in a base surface v...
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ژورنال
عنوان ژورنال: Topology
سال: 1977
ISSN: 0040-9383
DOI: 10.1016/0040-9383(77)90041-6