The structure of periodic point free distal homeomorphisms on the annulus
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916288749633536 |
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| author | Shi, Enhui Xu, Hui YU, Ziqi |
| author_facet | Shi, Enhui Xu, Hui YU, Ziqi |
| contents | Let $A$ be an annulus in the plane $\mathbb R^2$ and $g:A\rightarrow A$ be a boundary components preserving homeomorphism which is distal and has no periodic points. Then there is a continuous decomposition of $A$ into $g$-invariant circles such that all the restrictions of $g$ on them share a common irrational rotation number and all these circles are linearly ordered by the inclusion relation on the sets of bounded components of their complements in $\mathbb R^2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_10674 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The structure of periodic point free distal homeomorphisms on the annulus Shi, Enhui Xu, Hui YU, Ziqi Dynamical Systems Let $A$ be an annulus in the plane $\mathbb R^2$ and $g:A\rightarrow A$ be a boundary components preserving homeomorphism which is distal and has no periodic points. Then there is a continuous decomposition of $A$ into $g$-invariant circles such that all the restrictions of $g$ on them share a common irrational rotation number and all these circles are linearly ordered by the inclusion relation on the sets of bounded components of their complements in $\mathbb R^2$. |
| title | The structure of periodic point free distal homeomorphisms on the annulus |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2406.10674 |