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
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.
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页码:13 / 19
页数:7
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