Abstract
We use a self-improvement argument to give a very short and elementary proof of the result of Bourgain saying that infinite regular trees do not admit bi-Lipschitz embeddings into uniformly convex Banach spaces.
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Kloeckner, B.R. Yet another short proof of Bourgain’s distortion estimate for embedding of trees into uniformly convex Banach spaces. Isr. J. Math. 200, 419–422 (2014). https://doi.org/10.1007/s11856-014-0024-4
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DOI: https://doi.org/10.1007/s11856-014-0024-4