Embedding universal covers of graph manifolds in products of trees

We prove that the universal cover of any graph manifold quasi-isometrically embeds into a product of three trees. In particular, we showthat the Assouad-Nagata dimension of the universal cover of any closed graphmanifold is 3, proving a conjecture of Smirnov.

Bibliographic Details
Main Authors: Hume, D, Sisto, A
Format: Journal article
Published: American Mathematical Society 2013