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Start Over Author "Katelynn Kochalski" Journal involve, a journal of mathematics
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1. Nonultrametric triangles in diametral additive metric spaces

Author

Anthony Weston, Katelynn Kochalski, Mathav Murugan, Elizabeth Wesson, Heidi Verheggen, and Timothy Faver

Subjects
Discrete mathematics, 51F99, Metric space, additive metric spaces, ultrametric spaces, General Mathematics, Mathematics::General Topology, Mathematics::Metric Geometry, tree metrics, Topology, Condensed Matter::Disordered Systems and Neural Networks, 54E35, Mathematics
Abstract

We prove that a diametral additive metric space is not ultrametric if and only if it contains a diameter attaining nonultrametric triangle.

Published
2015
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