A note on the bounded orbit conjecture
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classification
math.DS
keywords
mathbborbitboundedconjecturefixedfreehomeomorphisminfinitely
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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.
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