Boundaries of right-angled hyperbolic buildings
Jan Dymara ; Damian Osajda
Fundamenta Mathematicae, Tome 193 (2007), p. 123-165 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:282878
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     title = {Boundaries of right-angled hyperbolic buildings},
     journal = {Fundamenta Mathematicae},
     volume = {193},
     year = {2007},
     pages = {123-165},
     zbl = {1177.20042},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm197-0-6}
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Jan Dymara; Damian Osajda. Boundaries of right-angled hyperbolic buildings. Fundamenta Mathematicae, Tome 193 (2007) pp. 123-165. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm197-0-6/