Finitely presented groups with infinitely many non-homeomorphic asymptotic cones
Group Theory
2011-08-26 v4 Geometric Topology
Abstract
We construct a finitely presented group with infinitely many non-homeomorphic asymptotic cones. We also show that the existence of cut points in asymptotic cones of finitely presented groups does, in general, depend on the choice of scaling constants and ultrafilters.
Keywords
Cite
@article{arxiv.1108.2100,
title = {Finitely presented groups with infinitely many non-homeomorphic asymptotic cones},
author = {Denis Osin and Abderezak Ould Houcine},
journal= {arXiv preprint arXiv:1108.2100},
year = {2011}
}