DIMENSION OF THE KERNEL OF A PLANAR SET

被引：10

作者：

BREEN, M

机构：

[1] University of oklahoma, Norman, OK

来源：

PACIFIC JOURNAL OF MATHEMATICS | 1979年 / 82卷 / 01期

关键词：

D O I：

10.2140/pjm.1979.82.15

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let S be a compact subset of R2. We establish the following: For 1 ≤ k ≤ 2, the dimension of ker S is at least k if and only if for some ε > 0, every f(k) points of S see via S a common A -dimensional neighborhood having radius ε, where F(1) = 4 and f(2) = 3. The number f(k) in the theorem is best possible. © 1979, University of California, Berkeley. All Rights Reserved.

引用

页码：15 / 21

页数：7