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Boundaries of right-angled hyperbolic buildings

Jan Dymara·Damian Osajda
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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.

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Jan Dymara, Damian Osajda. 2006-10-03. Boundaries of right-angled hyperbolic buildings. https://arxiv.org/abs/math/0610114

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