Boundaries of right-angled hyperbolic buildings

2006/10/03 by Jan Dymara, Dymara, Jan, Damian Osajda +1
Computer Science · Mathematics · #Computational Geometry and Mesh Generation #Geometric Analysis and Curvature Flows #Mathematics and Applications #math.GT #msc:20E42 #msc:20F67 #msc:54F35

paper · pdf · doi:10.48550/arxiv.math/0610114

35 pages

arxiv created 2006/10/03 · arxiv updated 2009/12/01

Abstract

We prove that the boundary of a right-angled hyperbolic building is a universal Menger space. Corollary: the 3-dimensional universal Menger space is the boundary of some Gromov-hyperbolic group.

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