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A note on the bounded orbit conjecture

Year: 2025
Type: preprint
Abstract: If $f:\mathbb{R}^2\rightarrow \mathbb{R}^2$ is an orientation reversing fixed point free homeomorphism on the plane $\mathbb{R}^2$ with no unbounded orbit, then $f$ has infinitely many periodic orbits.
Language: English
Open Access status: green
OpenAlex ID: W4415157665
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