In this work we consider two hyperconvex diversities (or hyperconvex metric spaces) (X, δX) and (Y, δY ) with nonempty intersection and we wonder whether there is a natural way to glue them so that the new glued diversity (or metric space) remains being hyperconvex. We provide positive and negative answers in both situations.
@article{bwmeta1.element.doi-10_2478_aupcsm-2014-0006,
author = {Bo\.zena Pi\k atek},
title = {On the gluing of hyperconvex metrics and diversities},
journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},
volume = {13},
year = {2014},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_aupcsm-2014-0006}
}
Bożena Piątek. On the gluing of hyperconvex metrics and diversities. Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, Tome 13 (2014) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_aupcsm-2014-0006/
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