Right-angled Coxeter groups with n-dimensional Sierpi\'nski compacta as boundaries
Geometric Topology
2017-09-27 v1
Abstract
For arbitrary integer n, we describe a large class of right-angled Coxeter systems for which the visual baundary (of the corresponding Coxeter-Davis complex) is homeomorphic to the n-dimensional Sierpi\'nski compactum. We also provide a necessary and sufficient condition for a planar simplicial complex L under which the right-angled Coxeter system whose nerve is L has the visual boundary homeomorphic to the Sierpi\'nski curve.
Keywords
Cite
@article{arxiv.1603.02152,
title = {Right-angled Coxeter groups with n-dimensional Sierpi\'nski compacta as boundaries},
author = {Jacek Świątkowski},
journal= {arXiv preprint arXiv:1603.02152},
year = {2017}
}
Comments
25 pages, 1 figure