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Nonultrametric
triangles in diametral additive metric spaces
Timothy Faver, Katelynn Kochalski, Mathav Kishore Murugan, Heidi Verheggen, Elizabeth Wesson and Anthony Weston
Vol. 8 (2015), No. 1, 33–37
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Abstract |
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We prove that a diametral additive metric space is not ultrametric if and only if it contains a diameter attaining nonultrametric triangle. |
Keywords
ultrametric spaces, additive metric spaces, tree metrics
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Mathematical Subject Classification 2010
Primary: 54E35
Secondary: 51F99
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Milestones
Received: 20 June 2012
Accepted: 10 January 2013
Published: 10 December 2014
Communicated by Toka Diagana
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Authors |
| Timothy Faver | |
| Department of Mathematics Drexel University Philadelphia, PA 19104 United States |
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| Katelynn Kochalski | |
| Department of Mathematics University of Virginia Charlottesville, VA 22904 United States |
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| Mathav Kishore Murugan | |
| Center for Applied Mathematics Cornell University Ithaca, NY 14853 United States |
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| Heidi Verheggen | |
| Department of Economics University of Pennsylvania Philadelphia, PA 19104 United State |
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| Elizabeth Wesson | |
| Center for Applied Mathematics Cornell University Ithaca, NY 14853 United States |
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| Anthony Weston | |
| Faculty of Arts and Sciences Australian Catholic University North Sydney, NSW 2060 Australia |
Department of Mathematics and
Statistics Canisius College Buffalo, NY 14208 United States |
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