14 citations · 15 across the 3 of their papers we have counts for
4 papers
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…
From continua to R-trees
Panos Papasoglu, Eric L Swenson
We show how to associate an R-tree to the set of cut points of a continuum. If X is a continuum without cut points we show how to associate an R-tree to the set of cut pairs of X.
Boundaries and JSJ decompositions of CAT(0)-groups
Panos Papasoglu, Eric Swenson
Let G be a one-ended group acting discretely and co-compactly on a CAT(0) space X. We show that the boundary of X has no cut points and that one can detect splittings of over t…