Quasi-metric trees and $q$-hyperconvex hulls | Zendy

Zechariah Mushaandja | Zendy; Olivier Olela Otafudu | Zendy

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Quasi-metric trees and $q$-hyperconvex hulls

Author(s) -

Zechariah Mushaandja,

Olivier Olela Otafudu

Publication year - 2017

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1506-36

Subject(s) - mathematics , metric (unit) , tree (set theory) , combinatorics , hull , discrete mathematics , pure mathematics , operations management , marine engineering , engineering , economics

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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