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arXiv · 2406.10674

The structure of periodic point free distal homeomorphisms on the annulus

Enhui Shi·Hui Xu·Ziqi YU
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Abstract

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 $\mathbb R^2$.

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Enhui Shi, Hui Xu, Ziqi YU. 2024-06-15. The structure of periodic point free distal homeomorphisms on the annulus. https://arxiv.org/abs/2406.10674

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