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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2002, Volume 239, Pages 83–97 (Mi tm360)  
This article is cited in 2 scientific papers (total in 2 papers)

Equivariant Maps and Some Problems of the Geometry of Convex Sets

A. Yu. Volovikov

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (267 kB) Citations (2)
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Abstract: Methods of equivariant topology are applied to some problems of convex set geometry. In particular, it is proved that a pyramid homothetic to a regular pyramid of certain type with a regular $p$-gon as the base, where $p$ is an odd prime, can be inscribed in any convex $(p+5)/2$-dimensional body.
Received in April 2002
Bibliographic databases:
UDC: 515.142.226
Language: Russian
Citation: A. Yu. Volovikov, “Equivariant Maps and Some Problems of the Geometry of Convex Sets”, Discrete geometry and geometry of numbers, Collected papers. Dedicated to the 70th birthday of professor Sergei Sergeevich Ryshkov, Trudy Mat. Inst. Steklova, 239, Nauka, MAIK «Nauka/Inteperiodika», M., 2002, 83–97; Proc. Steklov Inst. Math., 239 (2002), 74–87
Citation in format AMSBIB
\Bibitem{Vol02}
\by A.~Yu.~Volovikov
\paper Equivariant Maps and Some Problems of the Geometry of Convex Sets
\inbook Discrete geometry and geometry of numbers
\bookinfo Collected papers. Dedicated to the 70th birthday of professor Sergei Sergeevich Ryshkov
\serial Trudy Mat. Inst. Steklova
\yr 2002
\vol 239
\pages 83--97
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm360}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1975136}
\zmath{https://zbmath.org/?q=an:1070.52003}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2002
\vol 239
\pages 74--87
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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