Embedding universal covers of graph manifolds in products of trees

David Hume; Alessandro Sisto

doi:10.1090/S0002-9939-2013-11669-2

Embedding universal covers of graph manifolds in products of trees

David Hume, Alessandro Sisto

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

2 Citations (Scopus)

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, proving a conjecture of Smirnov.

Original language	English
Pages (from-to)	3337-3340
Number of pages	4
Journal	Proceedings of the American Mathematical Society
Volume	141
Issue number	10
Early online date	14 Jun 2013
DOIs	https://doi.org/10.1090/S0002-9939-2013-11669-2
Publication status	Published - 1 Oct 2013

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Publisher Copyright:
This work is in the public domain.

Keywords

math.GT
math.MG
20F65

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JF - Proceedings of the American Mathematical Society

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Embedding universal covers of graph manifolds in products of trees

Abstract

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