Large null sets in metric spaces

被引：0
|
作者：
Misík, L
Tichy, RF
机构：
[1] Graz Tech Univ, Inst Math, A-8010 Graz, Austria
[2] Univ Ostrava, Dept Math, Ostrava 70103, Czech Republic
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 305卷 / 02期
关键词：
null sets; Hausdortf dimension; Borel measure; Baire category;
D O I：
10.1016/j.jmaa.2004.10.047
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is shown that every locally compact a-compact metric space endowed with a Borel measure related to the metric by a natural condition contains sets of measure zero which are extremely large in the sense of cardinality, Hausdorff dimension and Baire category classification. (c) 2004 Elsevier Inc. All rights reserved.
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页码：424 / 437
页数：14
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