Penumbras and Separation of Convex Sets

被引：0
|
作者：
Soltan, Valeriu [1 ]
机构：
[1] George Mason Univ, Dept Math Sci, Fairfax, VA 22030 USA
来源：
RESULTS IN MATHEMATICS | 2021年 / 76卷 / 01期
关键词：
Convex set; penumbra; separation; polyhedron;
D O I：
10.1007/s00025-020-01329-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The concept of penumbra of a convex set with respect to another convex set was introduced by Rockafellar (1970). We study various geometric and topological properties of penumbras, their role in proper and strong separation of convex sets, and their relation to polyhedra and M-decomposable sets.
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页数：21
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