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Eurasian Mathematical Journal, 2010, Volume 1, Number 3, Pages 134–147 (Mi emj32)  
This article is cited in 1 scientific paper (total in 1 paper)

Star-shapedness and co-star-shapedness of finite unions and intersections of closed half-spaces

A. P. Shveidel

Department of Mathematics Karaganda State Technical University, Karaganda, Kazakstan
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Abstract: In the paper we answer the question when in finite dimensions finite unions and intersections of closed half-spaces are shifts of sets stable under shrinkings or dilatations and give explicit descriptions of the kernels of such sets.
Keywords and phrases: star-shaped set, co-star-shaped-set, regularly closed set, kernel, co-kernel, recession cone.
Received: 17.05.2010
Bibliographic databases:
Document Type: Article
MSC: 52A20, 52A30
Language: English
Citation: A. P. Shveidel, “Star-shapedness and co-star-shapedness of finite unions and intersections of closed half-spaces”, Eurasian Math. J., 1:3 (2010), 134–147
Citation in format AMSBIB
\Bibitem{Shv10}
\by A.~P.~Shveidel
\paper Star-shapedness and co-star-shapedness of finite unions and intersections of closed half-spaces
\jour Eurasian Math. J.
\yr 2010
\vol 1
\issue 3
\pages 134--147
\mathnet{http://mi.mathnet.ru/emj32}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2904770}
\zmath{https://zbmath.org/?q=an:1217.52006}
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  • https://www.mathnet.ru/eng/emj/v1/i3/p134
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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