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Eurasian Mathematical Journal, 2010, Volume 1, Number 3, Pages 134–147
(Mi emj32)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/emj32 https://www.mathnet.ru/eng/emj/v1/i3/p134
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Statistics & downloads: |
Abstract page: | 225 | Full-text PDF : | 78 | References: | 34 |
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