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A topological characterization of holomorphic parabolic germs in the plane

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Le Roux F.

Fundamenta Mathematicae

2008

tom 198

nr 1

77-94

J.-M. Gambaudo and É. Pécou introduced the "linking property" in the study of the dynamics of germs of planar homeomorphisms in order to provide a new proof of Naishul's theorem. In this paper we prove that the negation of the Gambaudo-Pécou property characterizes the topological dynamics of holomorphic parabolic germs. As a consequence, a rotation set for germs of surface homeomorphisms around a fixed point can be defined, and it turns out to be non-trivial except for countably many conjugacy classes.

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1 Fundamenta Mathematicae

1 Le Roux F.

1 2008

Wyniki wyszukiwania

A topological characterization of holomorphic parabolic germs in the plane