A NOTE ON THE ILLUMINATION OF CONVEX-BODIES

被引：0

作者：

BEZDEK, K ^{[1
]}

机构：

[1] EOTVOS LORAND UNIV, DEPT GEOMETRY, H-1088 BUDAPEST, HUNGARY

来源：

GEOMETRIAE DEDICATA | 1993年 / 45卷 / 01期

关键词：

D O I：

10.1007/BF01667405

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K subset-of E(d) be a convex body and let l(r)(K) denote the minimum number of r-dimensional affine subspaces of E(d) lying outside K with which it is possible to illuminate K, where 0 less-than-or-equal-to r less-than-or-equal-to d - 1. We give a new proof of the theorem that l(r)(K) greater-than-or-equal-to inverted right perpendicular (d + 1)/(r + 1) inverted left perpendicular with equality for smooth K.

引用

页码：89 / 91

页数：3