A topological characterization of holomorphic parabolic germs in the plane

• Autores: Frédéric Le Roux
• Localización: Fundamenta mathematicae, ISSN 0016-2736, Vol. 198, Nº 1, 2008, págs. 77-94
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.