Year: 2018
Author: Jian-Guo Liu, Qi Guo
Communications in Mathematical Research , Vol. 34 (2018), Iss. 2 : pp. 117–124
Abstract
In this article, under quite weaker conditions, theorems of Helly's type for (not necessarily finite) family of partially closed half-spaces are presented in both analytic and geometric forms. Examples are also provided to show that these conditions cannot be omitted in general.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2018.02.03
Communications in Mathematical Research , Vol. 34 (2018), Iss. 2 : pp. 117–124
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Helly's theorem partially-closed half-space affine function convex set