INSTITUTE OF MATHEMATICS · POLISH ACADEMY OF SCIENCES FUNDAMENTA MATHEMATICAE ISSN: 0016-2736(p) 1730-6329(e)

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Boundaries of right-angled hyperbolic buildings

Jan Dymara¹, Damian Osajda²
Fund. Math. 197 (2007), 123-165
doi:10.4064/fm197-0-6

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


MSC (2000): 20E42, 54F35, 20F67.
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1. Instytut Matematyczny
   Uniwersytet Wrocławski
   Pl. Grunwaldzki 2/4
   50-384 Wrocław, Poland
   
2. Instytut Matematyczny
   Uniwersytet Wrocławski
   Pl. Grunwaldzki 2/4
   50-384 Wrocław, Poland
   and
   Institut de Mathématiques de Jussieu
   Université Paris 6
   Case 247, 4 Place Jussieu
   75252 Paris Cedex 05, France
   

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