Geodesic
On the gluing of hyperconvex metrics and diversities
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, no. 13 (2014).

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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. 
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Piątek, Bożena. On the gluing of hyperconvex metrics and diversities. Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, no. 13 (2014). http://geodesic.mathdoc.fr/item/AUPCM_2014_13_a5/

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