Boundaries of right-angled hyperbolic buildings
Volume 197 / 2007
Fundamenta Mathematicae 197 (2007), 123-165
MSC: 20E42, 54F35, 20F67.
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.
