REAL

Convexity and a Stone-type theorem for convex sets in abelian semigroup setting

Jarczyk, Witold and Páles, Zsolt (2015) Convexity and a Stone-type theorem for convex sets in abelian semigroup setting. SEMIGROUP FORUM, 90 (1). pp. 207-219. ISSN 0037-1912

[img]
Preview
Text
1512.07275.pdf
Available under License Creative Commons Attribution.

Download (178kB) | Preview

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.

Item Type: Article
Subjects: Q Science / természettudomány > Q1 Science (General) / természettudomány általában
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 10 Oct 2023 15:05
Last Modified: 10 Oct 2023 15:05
URI: http://real.mtak.hu/id/eprint/176460

Actions (login required)

Edit Item Edit Item