If d is super-metric, then d/(1+d) is super-metric

Abstract

Take-down policy If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim.Downloaded from the University of Groningen/UMCG research database (Pure): http://www.rug.nl/research/portal. For technical reasons the number of authors shown on this cover page is limited to 10 maximum. AbstractIf a function d is metric, a well-known result is that d/(1 + d) is also metric. We consider m-ary analogs of the binary notion of semimetric, called hemi-metrics and super-metrics. The metrics are totally symmetric maps from X m+1 into R ≥0 . It is shown that, if d is supermetric, then d/(1 + d) is also super-metric.Mathematics Subject Classification: 51Fxx, 54E35