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25 April 2024

» arxiv » 1512.7275

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Convexity and a Stone-type theorem for convex sets in abelian semigroup setting
Witold Jarczyk ; Zsolt Páles ;
Date:	22 Dec 2015
Abstract:	In this paper, two parallel notions of convexity of sets are introduced in the abelian semigroup setting. The connection of these notions to algebraic and to set-theoretic operations is investigated. A formula for the computation of the convex hull is derived. Finally, a Stone-type separation theorem for disjoint convex sets is established.
Source:	arXiv, 1512.7275
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