Turkish Journal of Mathematics
DOI
10.3906/mat-1506-36
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
First Page
122
Last Page
131
Recommended Citation
MUSHAANDJA, ZECHARIAH and OTAFUDU, OLIVIER OLELA
(2017)
"Quasi-metric trees and $q$-hyperconvex hulls,"
Turkish Journal of Mathematics: Vol. 41:
No.
1, Article 12.
https://doi.org/10.3906/mat-1506-36
Available at:
https://journals.tubitak.gov.tr/math/vol41/iss1/12
