JournalsggdVol. 3, No. 3pp. 453–468

Flag-no-square triangulations and Gromov boundaries in dimension 3

  • Piotr Przytycki

    McGill University, Montreal, Canada
  • Jacek Świątkowski

    Uniwersytet Wrocławski, Wroclaw, Poland
Flag-no-square triangulations and Gromov boundaries  in dimension 3 cover
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Abstract

We describe an infinite family of 3-dimensional topological spaces, which are homeomorphic to boundaries of certain word-hyperbolic groups. The groups are right-angled hyperbolic Coxeter groups, whose nerves are flag-no-square triangulations of 3-dimensional manifolds. We prove that any 3-dimensional polyhedral complex (in particular, any 3-manifold) can be triangulated in a flag-no-square way.

Cite this article

Piotr Przytycki, Jacek Świątkowski, Flag-no-square triangulations and Gromov boundaries in dimension 3. Groups Geom. Dyn. 3 (2009), no. 3, pp. 453–468

DOI 10.4171/GGD/66