Roundness properties of ultrametric spaces
Faver, Timothy · Kochalski, Katelynn · Murugan, Mathav · Verheggen, Heidi · Wesson, Elizabeth · Weston, Anthony
Original · EN
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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