Local Connectivity of Right-angled Coxeter group boundaries
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866915406517633024 |
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| author | Mihalik, Michael Ruane, Kim Tschantz, Steve |
| author_facet | Mihalik, Michael Ruane, Kim Tschantz, Steve |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_17574 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Local Connectivity of Right-angled Coxeter group boundaries Mihalik, Michael Ruane, Kim Tschantz, Steve Group Theory Geometric Topology 20F65 (primary), 20F55, 20F67 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. |
| title | Local Connectivity of Right-angled Coxeter group boundaries |
| topic | Group Theory Geometric Topology 20F65 (primary), 20F55, 20F67 |
| url | https://arxiv.org/abs/2507.17574 |