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Roundness properties of ultrametric spaces

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 نشر من قبل Anthony Weston
 تاريخ النشر 2012
  مجال البحث
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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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