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arXiv · 2507.17574

Local Connectivity of Right-angled Coxeter group boundaries

Michael Mihalik·Kim Ruane·Steve Tschantz
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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.

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Michael Mihalik, Kim Ruane, Steve Tschantz. 2025-07-23. Local Connectivity of Right-angled Coxeter group boundaries. https://arxiv.org/abs/2507.17574

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