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JOURNALS
// Eurasian Mathematical Journal
// Archive
Eurasian Math. J.,
2010
Volume 1,
Number 3,
Pages
134–147
(Mi emj32)
This article is cited 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.
MSC:
52A20
,
52A30
Received:
17.05.2010
Language:
English
Fulltext:
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