17 citations · 33 across the 15 of their papers we have counts for
4 papers · 1 filter
Crystallographic Helly Groups
Nima Hoda
We prove that asymptotic cones of Helly graphs are countably hyperconvex. We use this to show that virtually nilpotent Helly groups are virtually abelian and to characterize virtua…
Strongly Shortcut Spaces
Nima Hoda
We define the strong shortcut property for rough geodesic metric spaces, generalizing the notion of strongly shortcut graphs. We show that the strong shortcut property is a rough s…
Relatively hyperbolic groups with strongly shortcut parabolics are strongly shortcut
Nima Hoda, Suraj Krishna M S
We show that a group that is hyperbolic relative to strongly shortcut groups is itself strongly shortcut, thus obtaining new examples of strongly shortcut groups. The proof relies…
Coarse injectivity, hierarchical hyperbolicity, and semihyperbolicity
Thomas Haettel, Nima Hoda, Harry Petyt
We relate three classes of nonpositively curved metric spaces: hierarchically hyperbolic spaces, coarsely injective spaces, and strongly shortcut spaces. We show that every hierarc…