Illumination of direct vector sums of convex bodies

被引：5

作者：

Boltyanski, Vladimir

Martini, Horst

机构：

[1] CIMAT, Guanajuato 36000, Mexico

[2] Tech Univ Chemnitz, Fak Math, D-09107 Chemnitz, Germany

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2007年 / 44卷 / 03期

关键词：

antipodality; convex body; covering by smaller homothets; direct vector sum; illumination;

D O I：

10.1556/SScMath.44.2007.3.6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that, unexpectedly, the illumination number of a direct vector sum of convex bodies is not necessarily equal to the product of the illumination numbers of its summands, and we describe a condition under which equality holds. Some further results and two research problems are presented.

引用

页码：367 / 376

页数：10

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