Hyperconvexity and Metric Trees
Metric Geometry
2007-05-23 v1 Functional Analysis
Abstract
In this paper we examine the relationship between hyperconvex hulls and metric trees. After providing a linking construction for hyperconvex spaces, we show that the four-point property is inherited by the hyperconvex hull, which leads to the theorem that every complete metric tree is hyperconvex. We also consider some extension theorems for these spaces.
Keywords
Cite
@article{arxiv.math/0702125,
title = {Hyperconvexity and Metric Trees},
author = {A. G. Aksoy and B. Maurizi},
journal= {arXiv preprint arXiv:math/0702125},
year = {2007}
}
Comments
11 pages