Mathematics – Metric Geometry
Scientific paper
2007-02-05
Mathematics
Metric Geometry
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.
Aksoy Asuman Guven
Maurizi Brian
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