From continua to R-trees
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.
math.GT↗
arXiv subjects
Eric L Swenson
Publications and source records attributed to Eric L Swenson.
Convergence groups from subgroups
We give sufficient conditions for a group of homeomorphisms of a Peano continuum X without cut-points to be a convergence group. The condition is that there is a collection of convergence subgroups whose limit sets `cut up' X in the correct fashion. This is closely related to the result in [E Swenson, Axial pairs and convergence groups on S^1, Topology 39 (2000) 229-237].
math.GR↗