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Zapiski Nauchnykh Seminarov POMI, 2013, Volume 415, Pages 5–14 (Mi znsl5678)  
This article is cited in 2 scientific papers (total in 2 papers)

On two conjectures of Makeev

R. N. Karasevabc

a Demidov Yaroslavl State University, Yaroslavl, Russia
b Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Russia
c Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (217 kB) Citations (2)
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Abstract: 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.
Key words and phrases: Knaster problem, inscribed polygons, plane curve.
Received: 01.09.2010
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 212, Issue 5, Pages 521–526
DOI: https://doi.org/10.1007/s10958-016-2679-3
Bibliographic databases:
Document Type: Article
UDC: 514.17
Language: Russian
Citation: R. N. Karasev, “On two conjectures of Makeev”, Geometry and topology. Part 12, Zap. Nauchn. Sem. POMI, 415, POMI, St. Petersburg, 2013, 5–14; J. Math. Sci. (N. Y.), 212:5 (2016), 521–526
Citation in format AMSBIB
\Bibitem{Kar13}
\by R.~N.~Karasev
\paper On two conjectures of Makeev
\inbook Geometry and topology. Part~12
\serial Zap. Nauchn. Sem. POMI
\yr 2013
\vol 415
\pages 5--14
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5678}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2016
\vol 212
\issue 5
\pages 521--526
\crossref{https://doi.org/10.1007/s10958-016-2679-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84953404472}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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