A topological view of ordered groups
Group Theory
2014-03-20 v1 Geometric Topology
Abstract
We show how to use topological ideas, such as compactness, to establish orderability properties of infinite groups. A new application is to provide a left-ordering for the group of PL homeomorphisms of a connected surface with boundary which are fixed on at least one boundary component. This has been extended in recent joint work by the author and D. Calegari.
Cite
@article{arxiv.1403.4876,
title = {A topological view of ordered groups},
author = {Dale Rolfsen},
journal= {arXiv preprint arXiv:1403.4876},
year = {2014}
}