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Involve a Journal of Mathematics
Article
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Other literature type . 2015
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Involve a Journal of Mathematics
Article . 2015 . Peer-reviewed
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https://dx.doi.org/10.2140/inv...
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Nonultrametric triangles in diametral additive metric spaces

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2015 English Publisher:Mathematical Sciences PublishersJournal:Involve, a Journal of Mathematics, volume 8, pages 33-37 (issn: 1944-4176, eissn: 1944-4184, Copyright policy )
Authors: Faver, Timothy; Kochalski, Katelynn; Murugan, Mathav; Verheggen, Heidi; Wesson, Elizabeth; Weston, Anthony;

doi: 10.2140/involve.2015.8.33

Nonultrametric triangles in diametral additive metric spaces

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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Keywords

51F99, additive metric spaces, ultrametric spaces, tree metrics, 54E35

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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