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math.MG2026
Additive quasi-isometries and cacti
Panos Papasoglu, Eric Swenson
We prove that if a geodesic metric space contains no -fat theta curve for some , then it is -quasi-isometric to a cactus graph, where depends only on . Using…
math.MG2026
Asymptotic dimension of 3-dimensional CAT(0) manifolds
Panos Papasoglu, Eric Swenson
We prove that every -manifold equipped with a proper metric admitting a convex geodesic bicombing has Assouad--Nagata dimension at most . In particular, every proper CAT…