Hyperconvexity and Metric Trees

A. G. Aksoy, B. Maurizi

Published 2007-02-05Version 1

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.