Hyperconvexity and Metric Trees

Mathematics – Metric Geometry

Scientific paper

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11 pages

Scientific paper

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.

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