161 citations · 244 across the 15 of their papers we have counts for
17 papers
Topological median algebra structures on ER homology manifolds I: local cubulation
Mladen Bestvina, Kenneth Bromberg, Michah Sageev
We study topological median algebra structures on Euclidean spaces and, more generally, ER homology manifolds. We show that all such median structures have a local CAT(0) cubulatio…
Coarse cubical rigidity
Elia Fioravanti, Ivan Levcovitz, Michah Sageev
We show that for many right-angled Artin and Coxeter groups, all cocompact cubulations coarsely look the same: they induce the same coarse median structure on the group. These are…
Globally stable cylinders for hyperbolic CAT(0) cube complexes
Nir Lazarovich, Michah Sageev
Rips and Sela introduced the notion of globally stable cylinders and asked if all Gromov hyperbolic groups admit such. We prove that hyperbolic cubulated groups admit globally stab…
Cubulating Surface-by-free Groups
Jason F. Manning, Mahan Mj, Michah Sageev
Let be an exact sequence where is the fundamental group of a closed surface of genus greater than one, is hyperbolic and is fi…
Uniform exponential growth for CAT(0) square complexes
Aditi Kar, Michah Sageev
In this paper we start the inquiry into proving uniform exponential growth in the context of groups acting on CAT(0) cube complexes. We address free group actions on CAT(0) square…
Ping pong on CAT(0) cube complexes
Aditi Kar, Michah Sageev
Let be a group acting properly and essentially on an irreducible, non-Euclidean finite dimensional CAT(0) cube complex without fixed points at infinity. We show that for an…