On the gluing of hyperconvex metrics and diversities
Abstract
In this work we consider two hyperconvex diversities (or hypercon vex 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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