On the gluing of hyperconvex metrics and diversities

In this work we consider two hyperconvex diversities (or hyperconvex metric spaces) (X; dX) and (Y; dY ) with nonempty intersection are given 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 a...

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Main Author: Bożena Piątek
Format: Article
Language:deu
Published: Sciendo 2014-04-01
Series:Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica
Online Access:http://studmath.up.krakow.pl/index.php/studmath/article/view/160
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author Bożena Piątek
author_facet Bożena Piątek
author_sort Bożena Piątek
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description In this work we consider two hyperconvex diversities (or hyperconvex metric spaces) (X; dX) and (Y; dY ) with nonempty intersection are given 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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spelling doaj.art-d4e7bb0fc10c430bab331643b03732ba2022-12-21T23:18:49ZdeuSciendoAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica2081-545X2300-133X2014-04-011316576115On the gluing of hyperconvex metrics and diversitiesBożena PiątekIn this work we consider two hyperconvex diversities (or hyperconvex metric spaces) (X; dX) and (Y; dY ) with nonempty intersection are given 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.http://studmath.up.krakow.pl/index.php/studmath/article/view/160
spellingShingle Bożena Piątek
On the gluing of hyperconvex metrics and diversities
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica
title On the gluing of hyperconvex metrics and diversities
title_full On the gluing of hyperconvex metrics and diversities
title_fullStr On the gluing of hyperconvex metrics and diversities
title_full_unstemmed On the gluing of hyperconvex metrics and diversities
title_short On the gluing of hyperconvex metrics and diversities
title_sort on the gluing of hyperconvex metrics and diversities
url http://studmath.up.krakow.pl/index.php/studmath/article/view/160
work_keys_str_mv AT bozenapiatek onthegluingofhyperconvexmetricsanddiversities