Large null sets in metric spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:305

Article

Misík, L ; Tichy, RF

关键词: null sets;    Hausdortf dimension;    Borel measure;    Baire category;   

DOI  :  10.1016/j.jmaa.2004.10.047

来源: Elsevier

【 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.

【 授权许可】

Free