5 citations · 11 across the 3 of their papers we have counts for
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math.MG2015
The Cartan-Hadamard Theorem for Metric Spaces with Local Geodesic Bicombings
Benjamin Miesch
Local-to-global principles are spread all-around in mathematics. The classical Cartan-Hadamard Theorem from Riemannian geometry was generalized by W. Ballmann for metric spaces wit…
math.MG2015
Weakly Externally Hyperconvex Subsets and Hyperconvex Gluings
Benjamin Miesch, Maël Pavón
We give a necessary and sufficient condition for gluings of hyperconvex metric spaces along weakly externally hyperconvex subsets in order that the resulting space be hyperconvex.…
math.MG2015★ 2 cited
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…