Mathematics – Geometric Topology
Scientific paper
2012-04-26
Mathematics
Geometric Topology
15 pages
Scientific paper
In every dimension $n\ge 3$ we introduce a class of orthogonal
graph-manifolds and prove that the fundamental group of any orthogonal
graph-manifold quasi-isometrically embeds into a product of $n$ trees. As a
consequence, we obtain that asymptotic and linearly-controlled asymptotic
dimensions of such group are equal to $n$.
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