5 citations · 11 across the 3 of their papers we have counts for
6 papers · 1 filter
Ball Intersection Properties in Metric Spaces
Benjamin Miesch, Maël Pavón
We show that in complete metric spaces, -hyperconvexity is equivalent to finite hyperconvexity. Moreover, every complete, almost -hyperconvex metric space is -hyperconvex.…
Conical geodesic bicombings on subsets of normed vector spaces
Giuliano Basso, Benjamin Miesch
We prove existence and uniqueness results for conical geodesic bicombings on subsets of normed vector spaces. Concerning existence, we give a first example of a non-consistent conv…
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…
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.…
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…
Injective Metrics on Cube Complexes
Benjamin Miesch
For locally finite CAT(0) cube complexes it is known that they are injectively metrizable choosing the -norm on each cube. In this paper we show that cube complexes which…