Dymara, Jan; Osajda, Damian Boundaries of right-angled hyperbolic buildings. (English) Zbl 1177.20042 Fundam. Math. 197, 123-165 (2007). Summary: 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. Cited in 1 ReviewCited in 10 Documents MSC: 20E42 Groups with a \(BN\)-pair; buildings 20F67 Hyperbolic groups and nonpositively curved groups 57M07 Topological methods in group theory Keywords:hyperbolic buildings; Menger spaces; Gromov boundaries; hyperbolic groups PDFBibTeX XMLCite \textit{J. Dymara} and \textit{D. Osajda}, Fundam. Math. 197, 123--165 (2007; Zbl 1177.20042) Full Text: DOI arXiv