A Note on Makeev’s Conjectures
- Authors: Karasev R.N.1,2
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Affiliations:
- Moscow Institute of Physics and Technology, Institute for Information Transmission Problems RAS, Moscow
- Yaroslavl’ State University
- Issue: Vol 212, No 5 (2016)
- Pages: 521-526
- Section: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/237045
- DOI: https://doi.org/10.1007/s10958-016-2679-3
- ID: 237045
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Abstract
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.
About the authors
R. N. Karasev
Moscow Institute of Physics and Technology, Institute for Information Transmission Problems RAS, Moscow; Yaroslavl’ State University
Author for correspondence.
Email: r_n_karasev@mail.ru
Russian Federation, Yaroslavl’
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