English

Yet another short proof of Bourgain's distorsion estimate

Functional Analysis 2013-02-08 v1 Metric Geometry

Abstract

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.

Keywords

Cite

@article{arxiv.1302.1738,
  title  = {Yet another short proof of Bourgain's distorsion estimate},
  author = {Benoît Kloeckner},
  journal= {arXiv preprint arXiv:1302.1738},
  year   = {2013}
}

Comments

2 pages