The visual boundary of Z^2
Metric Geometry
2009-11-23 v1
Abstract
We introduce ideas from geometric group theory related to boundaries of groups. This is a mostly expository paper. We consider the visual boundary of a free abelian group, and show that it is an uncountable set with the trivial topology.
Cite
@article{arxiv.0911.3982,
title = {The visual boundary of Z^2},
author = {Kyle Kitzmiller and Matt Rathbun},
journal= {arXiv preprint arXiv:0911.3982},
year = {2009}
}