English

Local Connectivity of Right-angled Coxeter group boundaries

Group Theory 2025-07-24 v1 Geometric Topology

Abstract

We provide conditions on the defining graph of a right-angled Coxeter group presentation that guarantees the boundary of any CAT(0) space on which the group acts geometrically will be locally connected. This is a revised version of a published paper where we streamline some of the proofs and add figures.

Keywords

Cite

@article{arxiv.2507.17574,
  title  = {Local Connectivity of Right-angled Coxeter group boundaries},
  author = {Michael Mihalik and Kim Ruane and Steve Tschantz},
  journal= {arXiv preprint arXiv:2507.17574},
  year   = {2025}
}

Comments

28 pages, 4 figures