Classifications of ultrametric spaces according to roundness

Details Classifications of ultrametric spaces according to roundness Classifications of ultrametric spaces according to roundness

2012-01-31

arxiv.org/abs/1201.6669v2

Mathematics

Functional Analysis

Scientific paper

We obtain several new characterizations of ultrametric spaces in terms of
roundness, generalized roundness, strict p-negative type, and p-polygonal
equalities (p > 0). This allows new insight into the isometric embedding of
ultrametric spaces into Euclidean spaces. We also consider roundness properties
additive metric spaces which are not ultrametric.

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