非标准模型下的逐点可测性  

Pointwise Measurability under Nonstandard Model

作　　者：陈东立[1] 郑焕平[1] 史艳维[2] 

机构地区：[1]西安建筑科技大学理学院,西安710055 [2]西安培华学院基础部,西安710125

出　　处：《重庆理工大学学报（自然科学）》2011年第11期92-95,共4页Journal of Chongqing University of Technology：Natural Science

基　　金：陕西省自然科学基金资助项目(2007A12);陕西省教育厅专项科学研究项目(11JK0507);西安建筑科技大学青年科技基金资助项目(QN1135)

摘　　要：在非标准分析的框架下讨论了内函数的逐点可测性,证明了若f是关于Aμ和B可测函数,则*f的所有关于σA和σB可测点之集是*μL可测的。In this paper,we discuss pointwise measurability of internal function in the framework of nonstandard analysis.The measurability in topology is defined on set,however,due to polysataration,we research pointwise measurability of internal function,which is the same as usual measurability.And we certify if f is Aμ and B measurable function,then the set of all σA and σB measurability point of ＊f is ＊μL-measurable.

关 键 词：转换原理 Σ-代数 LOEB测度 

分 类 号：O141.41[理学—数学] O174.12[理学—基础数学]