Boundaries of right-angled hyperbolic buildings

Details Boundaries of right-angled hyperbolic buildings Boundaries of right-angled hyperbolic buildings

2006-10-03

arxiv.org/abs/math/0610114v1

Mathematics

Geometric Topology

35 pages

Scientific paper

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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