EVERYWHERE MEAGRE AND EVERYWHERE NULL SETS

被引:0
|
作者
Kraszewski, Jan [1 ]
机构
[1] Univ Wroclaw, Math Inst, PL-50156 Wroclaw, Poland
来源
HOUSTON JOURNAL OF MATHEMATICS | 2009年 / 35卷 / 01期
关键词
Mycielski ideal; everywhere meagre sets; everywhere null sets; universally meagre sets; universally null sets; MEASURE ZERO SETS; IDEALS; SPACES; CANTOR;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We introduce new classes of small subsets of the reals, having natural combinatorial definitions, namely everywhere meagre and everywhere null sets. We investigate properties of these sets, in particular we show that these classes are closed under taking products and projections. We also prove several relations between these classes and other well-known classes of small subsets of the reals.
引用
收藏
页码:103 / 111
页数:9
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