14 citations · 20 across the 13 of their papers we have counts for
17 papers
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…
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…
Periodic geodesics in singular spaces
Panos Papasoglu, Eric Swenson
We extend the classical result of Lyusternik and Fet on the existence of closed geodesics to singular spaces. We show that if is a compact geodesic metric space satisfying the…
From Cuts to R trees
Eric Swenson
We provide sharp conditions under which a collection of separators A of a connected topological space Z leads to a canonical R-tree T . Any group acting on Z by homeomorphisms will…
Relatively hyperbolic groups with free abelian second cohomology
Michael Mihalik, Eric Swenson
Suppose is a 1-ended finitely presented group that is hyperbolic relative to a finite collection of 1-ended finitely presented proper subgroups of . Our main th…
Finite cuts and CAT(0) boundaries
Panos Papasoglu, Eric Swenson
We show that if a 1-ended group acts geometrically on a CAT(0) space and $\bd X$ is separated by points then either is virtually a surface group or splits over…