English

Existence Conditions for Dilation Families

Metric Geometry 2023-02-21 v1

Abstract

This article describes a structure that metric spaces can be equipped with so that they resemble normed vector spaces and examines necessary and sufficient conditions for the existence of such a structure on a general metric space.

Keywords

Cite

@article{arxiv.2302.10090,
  title  = {Existence Conditions for Dilation Families},
  author = {Ammar Hussain},
  journal= {arXiv preprint arXiv:2302.10090},
  year   = {2023}
}
R2 v1 2026-06-28T08:44:42.847Z