TY - JOUR
T1 - Quasi-metric trees and q-hyperconvex hulls
AU - Mushaandja, Zechariah
AU - Olela Otafudu, Olivier
N1 - Publisher Copyright:
© Tübitak.
PY - 2017
Y1 - 2017
N2 - 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.
AB - 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.
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U2 - 10.3906/mat-1506-36
DO - 10.3906/mat-1506-36
M3 - Article
AN - SCOPUS:85010612021
SN - 1300-0098
VL - 41
SP - 122
EP - 131
JO - Turkish Journal of Mathematics
JF - Turkish Journal of Mathematics
IS - 1
ER -