Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1506-36
Keywords
Metric interval, metric tree, $T_0$-quasi-metric, quasi-metric interval, quasi-metric tree
First Page
122
Last Page
131
Recommended Citation
MUSHAANDJA, Z, & OTAFUDU, O. O (2017). Quasi-metric trees and $q$-hyperconvex hulls. Turkish Journal of Mathematics 41 (1): 122-131. https://doi.org/10.3906/mat-1506-36
