AN UNCOUNTABLE PARTITION CONTAINED IN THE ATOMLESS σ-FIELD

被引：0
|
作者：
Drabinski, Radoslaw [1 ]
机构：
[1] Univ Gdansk, Inst Math, PL-80952 Gdansk, Poland
来源：
COLLOQUIUM MATHEMATICUM | 2011年 / 124卷 / 02期
关键词：
sigma-independent; atomless; sigma-field; sigma-algebra;
D O I：
10.4064/cm124-2-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This short note considers the question of whether every atomless sigma-field contains an uncountable partition. The paper comments the situation for a couple of known sigma-fields. A negative answer to the question is the main result.
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页码：219 / 223
页数：5
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