Faver, Timothy; Kochalski, Katelynn; Murugan, Mathav Kishore; Verheggen, Heidi; Wesson, Elizabeth; Weston, Anthony Nonultrametric triangles in diametral additive metric spaces. (English) Zbl 1314.54017 Involve 8, No. 1, 33-37 (2015). Summary: We prove that a diametral additive metric space is not ultrametric if and only if it contains a diameter attaining nonultrametric triangle. MSC: 54E35 Metric spaces, metrizability 51F99 Metric geometry Keywords:ultrametric spaces; additive metric spaces; tree metrics PDF BibTeX XML Cite \textit{T. Faver} et al., Involve 8, No. 1, 33--37 (2015; Zbl 1314.54017) Full Text: DOI OpenURL