Affiliation:
1. Department of Mathematics, ETH Zürich, 8092 Zürich, Switzerland
Abstract
We give a necessary and sufficient condition under which gluings of hyperconvex metric spaces along weakly externally hyperconvex subsets are hyperconvex. This leads to a full characterization of hyperconvex gluings of two isometric copies of the same hyperconvex space. Furthermore, we investigate the case of gluings of finite dimensional hyperconvex linear spaces along linear subspaces. For this purpose, we characterize the weakly externally hyperconvex subsets of [Formula: see text] endowed with the maximum norm.
Funder
Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
Schweizerischer Nationalfonds zur Föderung der Wissenschaftlichen Forschung
Publisher
World Scientific Pub Co Pte Lt
Subject
Geometry and Topology,Analysis
Cited by
1 articles.
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1. Ball intersection properties in metric spaces;Journal of Topology and Analysis;2021-06-19