Abstract
We prove that the universal cover of any graph manifold quasi-isometrically embeds into a product of three trees. In particular, we show that the Assouad-Nagata dimension of the universal cover of any closed graph manifold is 3 3 , proving a conjecture of Smirnov.
Original language | English |
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Journal | Proceedings of the American Mathematical Society |
DOIs | |
Publication status | Published - 14 Jun 2013 |