Boundaries of right-angled hyperbolic buildings

Jan Dymara, and Damian Osajda. "Boundaries of right-angled hyperbolic buildings." Fundamenta Mathematicae 197.1 (2007): 123-165. <http://eudml.org/doc/282878>.

@article{JanDymara2007,
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.},
author = {Jan Dymara, Damian Osajda},
journal = {Fundamenta Mathematicae},
keywords = {hyperbolic buildings; Menger spaces; Gromov boundaries; hyperbolic groups},
language = {eng},
number = {1},
pages = {123-165},
title = {Boundaries of right-angled hyperbolic buildings},
url = {http://eudml.org/doc/282878},
volume = {197},
year = {2007},
}

TY - JOUR
AU - Jan Dymara
AU - Damian Osajda
TI - Boundaries of right-angled hyperbolic buildings
JO - Fundamenta Mathematicae
PY - 2007
VL - 197
IS - 1
SP - 123
EP - 165
AB - 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.
LA - eng
KW - hyperbolic buildings; Menger spaces; Gromov boundaries; hyperbolic groups
UR - http://eudml.org/doc/282878
ER -