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Matematicheskie Zametki, 1975, Volume 18, Issue 5, Pages 781–791 (Mi mzm7690)  
This article is cited in 4 scientific papers (total in 4 papers)

Intersections of spherically convex sets

L. G. Sharaburovaab, Yu. A. Shashkinab

a Institute of Mathematics and Mechanics, Ural Scientific Center of the AS of USSR
b Ural State University
Full-text PDF (897 kB) Citations (4)
Abstract: New theorems of Helly type are proved concerning the intersection of convex cones with a common vertex or, equivalently, the intersection of sets on a sphere which are convex in the sense of Robinson. The proofs of these theorems are based on a lemma which is a spherical analog and generalization of Radon's theorem.
Received: 03.03.1975
English version:
Mathematical Notes, 1975, Volume 18, Issue 5, Pages 1054–1059
DOI: https://doi.org/10.1007/BF01153576
Bibliographic databases:
UDC: 513.82
Language: Russian
Citation: L. G. Sharaburova, Yu. A. Shashkin, “Intersections of spherically convex sets”, Mat. Zametki, 18:5 (1975), 781–791; Math. Notes, 18:5 (1975), 1054–1059
Citation in format AMSBIB
\Bibitem{ShaSha75}
\by L.~G.~Sharaburova, Yu.~A.~Shashkin
\paper Intersections of spherically convex sets
\jour Mat. Zametki
\yr 1975
\vol 18
\issue 5
\pages 781--791
\mathnet{http://mi.mathnet.ru/mzm7690}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=402610}
\zmath{https://zbmath.org/?q=an:0327.52006}
\transl
\jour Math. Notes
\yr 1975
\vol 18
\issue 5
\pages 1054--1059
\crossref{https://doi.org/10.1007/BF01153576}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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