Roundness properties of ultrametric spaces
Functional Analysis
2013-02-25 v5 General Topology
Abstract
We obtain several new characterizations of ultrametric spaces in terms of roundness, generalized roundness, strict p-negative type, and p-polygonal equalities (p > 0). This allows new insight into the isometric embedding of ultrametric spaces into Euclidean spaces. We also consider roundness properties additive metric spaces which are not ultrametric.
Keywords
Cite
@article{arxiv.1201.6669,
title = {Roundness properties of ultrametric spaces},
author = {Timothy Faver and Katelynn Kochalski and Mathav Murugan and Heidi Verheggen and Elizabeth Wesson and Anthony Weston},
journal= {arXiv preprint arXiv:1201.6669},
year = {2013}
}
Comments
12 pages