most citedNagata dimension, quasisymmetric embeddings, and Lipschitz extensions

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math.MG2004★ 31 cited

Nagata dimension, quasisymmetric embeddings, and Lipschitz extensions

Urs Lang, Thilo Schlichenmaier

We discuss a variation of Gromov's notion of asymptotic dimension that was introduced and named Nagata dimension by Assouad. The Nagata dimension turns out to be a quasisymmetry in…