(Non-)existence of Cannon-Thurston maps for Morse boundaries
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912125718364160 |
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| author | Charney, Ruth Cordes, Matthew Goldsborough, Antoine Sisto, Alessandro Zbinden, Stefanie |
| author_facet | Charney, Ruth Cordes, Matthew Goldsborough, Antoine Sisto, Alessandro Zbinden, Stefanie |
| contents | We show that the Morse boundary exhibits interesting examples of both the existence and non-existence of Cannon-Thurston maps for normal subgroups, in contrast with the hyperbolic case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_17572 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | (Non-)existence of Cannon-Thurston maps for Morse boundaries Charney, Ruth Cordes, Matthew Goldsborough, Antoine Sisto, Alessandro Zbinden, Stefanie Geometric Topology Group Theory 20F65, 20F67, 20E07, 57M07 We show that the Morse boundary exhibits interesting examples of both the existence and non-existence of Cannon-Thurston maps for normal subgroups, in contrast with the hyperbolic case. |
| title | (Non-)existence of Cannon-Thurston maps for Morse boundaries |
| topic | Geometric Topology Group Theory 20F65, 20F67, 20E07, 57M07 |
| url | https://arxiv.org/abs/2405.17572 |