Convergence groups from subgroups
Group Theory
2014-11-11 v1 General Topology
Abstract
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].
Cite
@article{arxiv.math/0212386,
title = {Convergence groups from subgroups},
author = {Eric L Swenson},
journal= {arXiv preprint arXiv:math/0212386},
year = {2014}
}
Comments
Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol6/paper22.abs.html