English

Boundaries of right-angled hyperbolic buildings

Geometric Topology 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0610114,
  title  = {Boundaries of right-angled hyperbolic buildings},
  author = {Jan Dymara and Damian Osajda},
  journal= {arXiv preprint arXiv:math/0610114},
  year   = {2007}
}

Comments

35 pages

R2 v1 2026-07-22T17:43:33.072Z