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2015 Nonultrametric triangles in diametral additive metric spaces
Timothy Faver, Katelynn Kochalski, Mathav Murugan, Heidi Verheggen, Elizabeth Wesson, Anthony Weston
Involve 8(1): 33-37 (2015). DOI: 10.2140/involve.2015.8.33

Abstract

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

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Timothy Faver. Katelynn Kochalski. Mathav Murugan. Heidi Verheggen. Elizabeth Wesson. Anthony Weston. "Nonultrametric triangles in diametral additive metric spaces." Involve 8 (1) 33 - 37, 2015. https://doi.org/10.2140/involve.2015.8.33

Information

Received: 20 June 2012; Accepted: 10 January 2013; Published: 2015
First available in Project Euclid: 22 November 2017

zbMATH: 1314.54017
MathSciNet: MR3321708
Digital Object Identifier: 10.2140/involve.2015.8.33

Subjects:
Primary: 54E35
Secondary: 51F99

Rights: Copyright © 2015 Mathematical Sciences Publishers

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