Resumen de The interior of the limit set of groups

Tetsuya Hosaka

• 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.