2 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.GT2025
Disintegrating the curve complex
Mladen Bestvina, Kenneth Bromberg, Alexander J. Rasmussen
We study a finite sequence of graphs, beginning with the curve graph and ending with a graph quasi-isometric to a tree. There is a Lipschitz map from one graph in the sequence to t…