English

Coarse embeddings into products of trees

Metric Geometry 2023-02-22 v3

Abstract

We give a short and elementary proof of the fact that every metric space of finite asymptotic dimension can be embedded into a finite product of trees.

Keywords

Cite

@article{arxiv.1810.13361,
  title  = {Coarse embeddings into products of trees},
  author = {Daniel Kasprowski},
  journal= {arXiv preprint arXiv:1810.13361},
  year   = {2023}
}

Comments

4 pages; mistake in the proof of Lemma 6 fixed and some typos corrected; to appear in Kyoto Journal of Mathematics