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A Note on Makeev’s Conjectures


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Resumo

A counterexample is given for the Knaster-like Makeev’s conjecture for functions on S2. Some particular cases of another conjecture of Makeev on inscribing a quadrangle into a smooth simple closed curve are solved positively.

Sobre autores

R. Karasev

Moscow Institute of Physics and Technology, Institute for Information Transmission Problems RAS, Moscow; Yaroslavl’ State University

Autor responsável pela correspondência
Email: r_n_karasev@mail.ru
Rússia, Yaroslavl’

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