Complete characterizations of hyperbolic Coxeter groups with Sierpiński curve boundary and with Menger curve boundary
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2021
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910935777542144 |
|---|---|
| author | Danielski, Daniel Kapovich, Michael Świątkowski, Jacek |
| author_facet | Danielski, Daniel Kapovich, Michael Świątkowski, Jacek |
| contents | We give complete characterizations (in terms of nerves) of those word hyperbolic Coxeter groups whose Gromov boundary is homeomorphic to the Sierpiński curve and to the Menger curve, respectively. The justification is mostly an appropriate combination of various results from the literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_01922 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Complete characterizations of hyperbolic Coxeter groups with Sierpiński curve boundary and with Menger curve boundary Danielski, Daniel Kapovich, Michael Świątkowski, Jacek Geometric Topology 20F67 (primary), 20F55, 20F65 (secondary) We give complete characterizations (in terms of nerves) of those word hyperbolic Coxeter groups whose Gromov boundary is homeomorphic to the Sierpiński curve and to the Menger curve, respectively. The justification is mostly an appropriate combination of various results from the literature. |
| title | Complete characterizations of hyperbolic Coxeter groups with Sierpiński curve boundary and with Menger curve boundary |
| topic | Geometric Topology 20F67 (primary), 20F55, 20F65 (secondary) |
| url | https://arxiv.org/abs/2110.01922 |