Embedding universal covers of graph manifolds in products of trees

David Hume, Alessandro Sisto

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
JournalProceedings of the American Mathematical Society
DOIs
Publication statusPublished - 14 Jun 2013

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