THE HAHN-BANACH THEOREM IMPLIES THE EXISTENCE OF A NON-LEBESGUE MEASURABLE SET

被引：13

作者：

FOREMAN, M

WEHRUNG, F

机构：

[1] OHIO STATE UNIV,DEPT MATH,COLUMBUS,OH 43210

[2] UNIV CAEN,CNRS,F-14032 CAEN,FRANCE

来源：

FUNDAMENTA MATHEMATICAE | 1991年 / 138卷 / 01期

关键词：

D O I：

10.4064/fm-138-1-13-19

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we show that the Axioms of Zermelo-Fraenkel set theory together with the Hahn-Banach theorem imply the existence of a non-Lebesgue measurable set. Our construction does not make any use of the Axiom of Choice.

引用

页码：13 / 19

页数：7

共 15 条

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