منابع مشابه
Polyboxes, Cube Tilings and Rigidity
A non-empty subset A of X = X1 × · · · × Xd is a (proper) box if A = A1 × · · · × Ad and Ai ⊂ Xi for each i. Suppose that for each pair of boxes A, B and each i, one can only know which of the three states takes place: Ai = Bi, Ai = Xi \ Bi, Ai 6∈ {Bi, Xi \ Bi}. Let F and G be two systems of disjoint boxes. Can one decide whether ⋃ F = ⋃ G ? In general, the answer is ‘no’, but as is shown in th...
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We prove that certain compact cube complexes have special finite covers. This means they have finite covers whose fundamental groups are quasiconvex subgroups of right-angled Artin groups. As a result we obtain, linearity and the separability of quasiconvex subgroups, for the groups we consider. Our result applies in particular to compact negatively curved cube complexes whose hyperplanes don’t...
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ژورنال
عنوان ژورنال: Geometric and Functional Analysis
سال: 2011
ISSN: 1016-443X,1420-8970
DOI: 10.1007/s00039-011-0126-7