Quasi-metric trees and $q$-hyperconvex hulls
Authors : Zechariah Mushaandja, Olivier Olela Otafudu
Pages : 122-131
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Publication Date : 9999-12-31
Article Type : Makaleler
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 $T_0$-quasi-metric tree is itself a $T_0$-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.Keywords : Metric interval, metric tree, $T_0$-quasi-metric, quasi-metric interval, quasi-metric tree