Now showing items 1-3 of 3

    • Quasi-metric trees and q-hyperconvex hulls 

      Mushaandja, Zechariah; Otafudu, Olivier Olela (Scientific and Technological Research Council of Turkey, 2017)
      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 ...
    • The injective hull of ultra-quasi-metric versus q-hyperconvex hull of quasi-metric space 

      Otafudu, Olivier Olela (Elsevier, 2016)
      For any partially ordered set equipped with its natural T0-quasi-metric (T0-ultra-quasi-metric), we study the connection between the ultra-quasi-metrically injective hull and the q-hyperconvex hull. We also observe that ...
    • The δ-completion of a quasi-pseudometric space 

      Mukongo, Demco Kalusokoma; Otafudu, Olivier Olela (Elsevier, 2015)
      We present a notion of completeness and a completion for a quasi-pseudometric space. In this article, we extend the construction of κ-completion of Andrikopoulos via Cauchy filter pairs which are not balanced in the sense ...