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The Structure of Periodic Point Free Distal Homeomorphisms on the Annulus by Shi, Enhui; Xu, Hui; YU, Ziqi is a scholarly article available to read on EtoBox.

What is The Structure of Periodic Point Free Distal Homeomorphisms on the Annulus about?

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 $\mathbb R^2$.

Author

Shi, Enhui; Xu, Hui; YU, Ziqi

Published

2024

Language

EN