The interior of the limit set of groups

• Autores: Tetsuya Hosaka
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 30, Nº 3, 2004, págs. 705-722
• Idioma: inglés
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• Resumen

  • In this paper, we investigate the interior of the limit set of a group acting on a hyperbolic or CAT(0) space. We show that the interior of the limit set of a group acting on a hyperbolic space is empty, if the interior does not coincide the boundary of the hyperbolic space. Also we show that the interior of the limit set of a convex-cocompact group acting on an almost extendible CAT(0) space is empty, if the interior does not coincide the boundary of the CAT(0) space.