On the measurability properties of well-orderings

被引：0
|
作者：
Kharazishvili, Alexander [1 ]
机构：
[1] I Javakhishvili Tbilisi State Univ, A Razmadze Math Inst, GE-0177 Tbilisi, Georgia
来源：
GEORGIAN MATHEMATICAL JOURNAL | 2013年 / 20卷 / 03期
基金：
美国国家科学基金会;
关键词：
Well-ordering; product measure; Fubini's theorem; nonmeasurable set; axiom of choice; continuum hypothesis; THEOREM; PROOF;
D O I：
10.1515/gmj-2013-0024
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown that well-orderings are either negligible or nonmeasurable with respect to the completions of a-finite product measures. Several consequences of this fact are discussed in the light of some classical problems formulated by Hilbert, Lebesgue and Luzin.
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页码：533 / 545
页数：13
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