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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access May 21, 2015

Gluing Hyperconvex Metric Spaces

  • Benjamin Miesch


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.

MSC: 51F99


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Received: 2015-3-6
Accepted: 2015-5-5
Published Online: 2015-5-21

© 2015 Benjamin Miesch

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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