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arxiv: 1302.1738 · v1 · pith:WG4JLUMRnew · submitted 2013-02-07 · 🧮 math.FA · math.MG

Yet another short proof of Bourgain's distorsion estimate

classification 🧮 math.FA math.MG
keywords bourgainproofshortadmitanotherargumentbanachbi-lipschitz
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We use a self-improvement argument to give a very short and elementary proof of the result of Bourgain saying that regular trees do not admit bi-Lipschitz embeddings into uniformly convex Banach spaces.

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