A note on Makeev's conjectures
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🧮 math.MG
math.COmath.DG
keywords
makeevconjectureanothercasesclosedconjecturescounterexamplecurve
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A counterexample is given for the Knaster-like conjecture of Makeev for functions on $S^2$. Some particular cases of another conjecture of Makeev, on inscribing a quadrangle into a smooth simple closed curve, are solved positively.
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