Quasi-metric trees and q-hyperconvex hulls

Zechariah Mushaandja, Olivier Olela Otafudu

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The investigation of metric trees began with J. Tits in 1977. Recently we studied a more general notion of quasi-metric tree. In the current article we prove, among other facts, that the q -hyperconvex hull of a q -hyperconvex T0 -quasi-metric tree is itself a T0 -quasi-metric tree. This is achieved without using the four-point property, a geometric concept used by Aksoy and Maurizi to show that every complete metric tree is hyperconvex.

Original languageEnglish
Pages (from-to)122-131
Number of pages10
JournalTurkish Journal of Mathematics
Volume41
Issue number1
DOIs
Publication statusPublished - Jan 1 2017

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Quasi-metric
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All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Mushaandja, Zechariah ; Olela Otafudu, Olivier. / Quasi-metric trees and q-hyperconvex hulls. In: Turkish Journal of Mathematics. 2017 ; Vol. 41, No. 1. pp. 122-131.
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Quasi-metric trees and q-hyperconvex hulls. / Mushaandja, Zechariah; Olela Otafudu, Olivier.

In: Turkish Journal of Mathematics, Vol. 41, No. 1, 01.01.2017, p. 122-131.

Research output: Contribution to journalArticle

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