Embedding universal covers of graph manifolds in products of trees
classification
🧮 math.GT
math.MG
keywords
graphuniversalcovermanifoldtreesassouad-nagataclosedconjecture
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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.
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