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- W1997508732 abstract "A long outstanding problem in the topology of Euclidean spaces is the Bounded Orbit Conjecture, which states that every homeomorphism of ${E^2}$ onto itself, with the property that the orbit of every point is bounded, must have a fixed point. It is well known that the conjecture is true for orientation preserving homeomorphisms. We provide a counterexample to the conjecture by constructing a fixed point free orientation reversing homeomorphism which satisfies the hypothesis of the conjecture." @default.
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- W1997508732 date "1981-02-01" @default.
- W1997508732 modified "2023-10-14" @default.
- W1997508732 title "A counterexample to the bounded orbit conjecture" @default.
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- W1997508732 doi "https://doi.org/10.1090/s0002-9947-1981-0617542-9" @default.
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