3 papers
math.GT2025
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…
math.GT2024
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 f…
math.GR2024
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…