Roundness properties of ultrametric spaces
classification
🧮 math.FA
math.GN
keywords
spacesroundnessultrametricpropertiesadditiveallowscharacterizationsconsider
read the original abstract
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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