从一般集类上的测度到Lebesgue测度的几点思考  

Some Reflections from the Measure on General Set Class to Lebesgue Measure

作　　者：李丽[1] 

机构地区：[1]黄山学院数学与统计学院,安徽黄山245041

出　　处：《黄山学院学报》2014年第3期112-113,119,共3页Journal of Huangshan University

基　　金：安徽省教育厅教学团队项目(2013jxtd033)

摘　　要：从一般测度论的角度,对Lebesgue测度的本质加以总结,从定义域和对应法则两个方面进行阐述,使Lebesgue测度理论更加清晰,同时给出了该章节教学中的指导意见。In this paper, the nature of Lebesgue measure is summarized from the perspective of the general measure theory. It is elaborated from the two corresponding law, which makes Lebesgue measure theory instructions on this section are given. aspects of the domain of definition and the more clear. At the same time, some teaching

关 键 词：Σ代数 广义集函数 外测度 测度 CARATHEODORY条件 

分 类 号：O174.12[理学—数学]