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arxiv: math/0610114 · v1 · submitted 2006-10-03 · 🧮 math.GT

Boundaries of right-angled hyperbolic buildings

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keywords boundaryhyperbolicmengerright-angledspaceuniversalboundariesbuilding
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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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