Minimality in asymmetry classes

被引：0
|
作者：
Wiernowolski, M
机构：
来源：
STUDIA MATHEMATICA | 1997年 / 124卷 / 02期
关键词：
convex sets; symmetry; minimality; Hausdorff metric;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We examine minimality in asymmetry classes of convex compact sets with respect to inclusion. We prove that each class has a minimal element. Moreover, we show there is a connection between asymmetry classes and the Radstrom-Hormander lattice. This is used to present an alternative solution to the problem of minimality posed by G. Ewald and G. C. Shephard in [4].
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页码：149 / 154
页数：6
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