Geodesic
On two conjectures of Makeev
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 12, Tome 415 (2013), pp. 5-14 
R. N. Karasev. On two conjectures of Makeev. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 12, Tome 415 (2013), pp. 5-14. http://geodesic.mathdoc.fr/item/ZNSL_2013_415_a0/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

A counterexample is constructed to the conjecture of Makeev about Knaster $4$-tuples on the sphere $S^2$. A partial progress is obtained concerning another conjecture of Makeev about quadrangles inscribed in a smooth simple closed curve in the plane.

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