Concentration points for Fuchsian groups

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A limit point p of a discrete group of Mobius transformations acting on S^n is called a concentration point if for any sufficiently small connected open neighborhood U of p, the set of translates of U contains a local basis for the topology of S^n at p. For the case of Fuchsian groups (n = 1), every concentration point is a conical limit point, but even for finitely generated groups not every conical limit point is a concentration point. A slightly weaker concentration condition is given which is satisfied if and only if p is a conical limit point, but not all conical limit points satisfy it. Examples are given that clarify the relations between various concentration conditions.
24 pages, 7 figures

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Geometric Topology, 20H10 (primary), 57M50 (secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/77076

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9806122
 http://arxiv.org/abs/math/9806122

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arXiv