On the group of homeomorphisms of the Basilica
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866914815096651776 |
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| author | Neretin, Yury A. |
| author_facet | Neretin, Yury A. |
| contents | We show that the group of all homeomorphisms of the Basilica fractal coincides with a group of transformations of a certain non-locally finite ribbon tree. Also, we show that Basilica Thompson group defined by Belk and Forrest is dense in the group of all orientation preserving homeomorphisms of the Basilica. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_11482 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the group of homeomorphisms of the Basilica Neretin, Yury A. Group Theory General Topology 20E08, 54H11 We show that the group of all homeomorphisms of the Basilica fractal coincides with a group of transformations of a certain non-locally finite ribbon tree. Also, we show that Basilica Thompson group defined by Belk and Forrest is dense in the group of all orientation preserving homeomorphisms of the Basilica. |
| title | On the group of homeomorphisms of the Basilica |
| topic | Group Theory General Topology 20E08, 54H11 |
| url | https://arxiv.org/abs/2303.11482 |