A note on Makeev's conjectures

Details A note on Makeev's conjectures A note on Makeev's conjectures

2010-02-22

arxiv.org/abs/1002.4070v2

Mathematics

Metric Geometry

Scientific paper

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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