Indivisible ultrametric spaces
Metric Geometry
2007-05-23 v1
Abstract
A metric space is indivisible if for any partition of it into finitely many pieces one piece contains an isometric copy of the whole space. Continuing our investigation of indivisible metric spaces, we show that a countable ultrametric space embeds isometrically into an indivisible ultrametric metric space if and only if it does not contain a strictly increasing sequence of balls.
Cite
@article{arxiv.math/0702466,
title = {Indivisible ultrametric spaces},
author = {Christian Delhommé and Claude Laflamme and Maurice Pouzet and Norbert Sauer},
journal= {arXiv preprint arXiv:math/0702466},
year = {2007}
}
Comments
21 pages