Geodesic
Gluing Hyperconvex Metric Spaces
Analysis and Geometry in Metric Spaces, Tome 3 (2015) no. 1.

Voir la notice de l'article provenant de la source The Polish Digital Mathematics Library

We investigate how to glue hyperconvex (or injective) metric spaces such that the resulting space remains hyperconvex. We give two new criteria, saying that on the one hand gluing along strongly convex subsets and on the other hand gluing along externally hyperconvex subsets leads to hyperconvex spaces. Furthermore, we show by an example that these two cases where gluing works are opposed and cannot be combined.
Mots-clés : hyperconvex spaces, injective metric spaces, strongly convex, externally hyperconvex 
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     author = {Miesch, Benjamin},
     title = {Gluing {Hyperconvex} {Metric} {Spaces}},
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     year = {2015},
     zbl = {1321.54053},
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     url = {http://geodesic.mathdoc.fr/item/AGMS_2015_3_1_a4/}
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Miesch, Benjamin. Gluing Hyperconvex Metric Spaces. Analysis and Geometry in Metric Spaces, Tome 3 (2015) no. 1. http://geodesic.mathdoc.fr/item/AGMS_2015_3_1_a4/