Bi-Lipschitz embeddings revisited
Metric Geometry
2025-01-15 v1 General Topology
Abstract
Given a metric space (X, d), we continue our study of the distance function x\mapsto d(x,-) and its relation to bi-Lipschitz embeddings of (X, d) into R^N. As application, given a compact metric-measure space (X, d,\mu), we give three sufficient conditions for the existence of such a bi-Lipschitz embedding.
Keywords
Cite
@article{arxiv.2501.07648,
title = {Bi-Lipschitz embeddings revisited},
author = {H. Movahedi-Lankarani and R. Wells},
journal= {arXiv preprint arXiv:2501.07648},
year = {2025}
}