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Zapiski Nauchnykh Seminarov POMI, 2008, Volume 353, Pages 54–61 (Mi znsl1631)  
This article is cited in 2 scientific papers (total in 2 papers)

An elementary proof of Tverberg's theorem

M. Yu. Zvagel'skii

Saint-Petersburg State University
Full-text PDF (200 kB) Citations (2)
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Abstract: We give a new proof of Tverberg's familiar theorem saying that an arbitrary set of $q=(d+1)(p-1)+1$ points in $\mathbb R^d$ can be split into $p$ parts whose convex hulls have a nonempty intersection. Bibl. – 9 titles.
Received: 04.03.2007
English version:
Journal of Mathematical Sciences (New York), 2009, Volume 161, Issue 3, Pages 384–387
DOI: https://doi.org/10.1007/s10958-009-9563-3
Bibliographic databases:
UDC: 514.17
Language: Russian
Citation: M. Yu. Zvagel'skii, “An elementary proof of Tverberg's theorem”, Geometry and topology. Part 10, Zap. Nauchn. Sem. POMI, 353, POMI, St. Petersburg, 2008, 54–61; J. Math. Sci. (N. Y.), 161:3 (2009), 384–387
Citation in format AMSBIB
\Bibitem{Zva08}
\by M.~Yu.~Zvagel'skii
\paper An elementary proof of Tverberg's theorem
\inbook Geometry and topology. Part~10
\serial Zap. Nauchn. Sem. POMI
\yr 2008
\vol 353
\pages 54--61
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1631}
\zmath{https://zbmath.org/?q=an:1190.52004}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2009
\vol 161
\issue 3
\pages 384--387
\crossref{https://doi.org/10.1007/s10958-009-9563-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-70449528755}
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  • https://www.mathnet.ru/eng/znsl/v353/p54
    • 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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