M. Sageev

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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 $1 \to H \to G \to Q \to 1$ be an exact sequence where $H = I ¨ _{1} (S)$ is the fundamental group of a closed surface $S$ of genus greater than one, $G$ is hyperbolic and $Q$ is f…