Article ID Journal Published Year Pages File Type
4658091 Topology and its Applications 2016 6 Pages PDF
Abstract

Buyalo and Lebedeva have shown that the asymptotic dimension of a hyperbolic group is equal to the dimension of the group boundary plus one. Among the work presented here is a partial extension of that result to all groups admitting ZZ-structures; in particular, we show that asdimG≥dimZ+1asdimG≥dimZ+1 where Z   is the ZZ-boundary.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
Preview
A comparison of large scale dimension of a metric space to the dimension of its boundary
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