English

Lipschitz distance between clouds

Metric Geometry 2025-10-28 v1

Abstract

In this note we show that the Lipschitz distance between the classes of metric spaces at finite Gromov-Hausdorff distances from the one-point metric space and the real line with the natural metric, respectively, is positive.

Keywords

Cite

@article{arxiv.2510.22696,
  title  = {Lipschitz distance between clouds},
  author = {Ivan N. Mikhailov},
  journal= {arXiv preprint arXiv:2510.22696},
  year   = {2025}
}

Comments

5 pages

R2 v1 2026-07-01T07:06:31.914Z