Geodesic
Gluing Hyperconvex Metric Spaces
Analysis and Geometry in Metric Spaces, Tome 3 (2015) no. 1 Cet article a éte moissonné depuis la source The Polish Digital Mathematics Library

Voir la notice de l'article

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 
@article{AGMS_2015_3_1_a4,
     author = {Miesch, Benjamin},
     title = {Gluing {Hyperconvex} {Metric} {Spaces}},
     journal = {Analysis and Geometry in Metric Spaces},
     year = {2015},
     volume = {3},
     number = {1},
     zbl = {1321.54053},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AGMS_2015_3_1_a4/}
}
TY  - JOUR
AU  - Miesch, Benjamin
TI  - Gluing Hyperconvex Metric Spaces
JO  - Analysis and Geometry in Metric Spaces
PY  - 2015
VL  - 3
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/AGMS_2015_3_1_a4/
LA  - en
ID  - AGMS_2015_3_1_a4
ER  - 
%0 Journal Article
%A Miesch, Benjamin
%T Gluing Hyperconvex Metric Spaces
%J Analysis and Geometry in Metric Spaces
%D 2015
%V 3
%N 1
%U http://geodesic.mathdoc.fr/item/AGMS_2015_3_1_a4/
%G en
%F AGMS_2015_3_1_a4
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/