Hyperconvexity and Metric Trees
度量几何
2007-05-23 v1 泛函分析
摘要
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.
引用
@article{arxiv.math/0702125,
title = {Hyperconvexity and Metric Trees},
author = {A. G. Aksoy and B. Maurizi},
journal= {arXiv preprint arXiv:math/0702125},
year = {2007}
}
备注
11 pages