Notions of denseness

被引：13

作者：

Kuperberg, Greg ^{[1
]}

机构：

[1] Univ Calif Davis, Dept Math, Davis, CA 95616 USA

来源：

GEOMETRY & TOPOLOGY | 2000年 / 4卷

基金：

美国国家科学基金会;

关键词：

Density; saturation; packing; covering; dominance;

D O I：

10.2140/gt.2000.4.277

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The notion of a completely saturated packing [4] is a sharper version of maximum density, and the analogous notion of a completely reduced covering is a sharper version of minimum density. We de fine two related notions: uniformly recurrent and weakly recurrent dense packings, and diffusively dominant packings. Every compact domain in Euclidean space has a uniformly recurrent dense packing. If the domain self-nests, such a packing is limit-equivalent to a completely saturated one. Diffusive dominance is yet sharper than complete saturation and leads to a better understanding of n-saturation.

引用

页码：277 / 292

页数：16

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