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可测集定义的一个附注
引用本文:覃崇文. 可测集定义的一个附注[J]. 重庆文理学院学报(自然科学版), 2007, 26(4): 17-18
作者姓名:覃崇文
作者单位:贵州省畜牧兽医学校,贵阳,550018
摘    要:测度论中的可测集的定义通常由Caratheodory条件给出.本文在有限可测空间上简化Caratheodory条件,给出可测集的一个新定义,并证明两个定义是等价的.

关 键 词:有限可测空间  Caratheodory条件  可测集
文章编号:1673-8012(2007)04-0017-02
修稿时间:2007-06-07

A Note on Definition of Measurable Set
QIN Chong-wen. A Note on Definition of Measurable Set[J]. Journal of Chongqing University of Arts and Scie, 2007, 26(4): 17-18
Authors:QIN Chong-wen
Affiliation:School of Vocational Animal Science and Vetennary, Guiyang 550018, China
Abstract:The definition of measurable set in measure theory usually is defined under Caratheodory condition. The author gave a new definition of measurable sets under the Caratheodory condition which predigested in finite measurable space and proved that the new definition equals the old one in the article.
Keywords:measurable set    caratheodory condition    finite measurable space
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