Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hyperconvexity and Metric Trees   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.

10
The categories of this paper are: q-bio
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The categories of this paper are: nlin
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat