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ArticleOriginal scientific text

Title

On the gluing of hyperconvex metrics and diversities

Authors 1

Affiliations

  1. Institute of Mathematics Silesian University of Technology 44-100 Gliwice Poland

Abstract

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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Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
2014/13
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Main language of publication
English
Received
2014-03-22
Accepted
2014-06-23
Published
2014-12-01
Published online
2014-12-11

DOI: 10.2478/aupcsm-2014-0006

Exact and natural sciences