连续函数可测性的一个新证明OACHSSCD
A New Proof of the Measurability of Continuous Functions
给出了连续函数可测性的一个新的证明方法．首先证明了定义在闭集上连续函数的一个性质．在此基础上，利用可测集和Fσ型集之间的关系，证明了定义在可测集上的连续函数是可测函数．
A new proof of the measurability of continuous functions is given. Firstly, a property of a continuous function de- fined on a closed set is investigated. Then, combining this result and the relation between measurable functions and Fσ-sets, the measurability of continuous functions is proved.
余保民
渭南师范学院数学与信息科学学院,陕西渭南714000
数学
连续函数可测函数可测集闭集Fσ型集
continuous functionmeasurable functionmeasurable setclosed setFσ-set
《渭南师范学院学报：综合版》 2012 (6)
17-18,21,3
基金项目：渭南市科技计划项目（2011YKJ-2）渭南师范学院科研计划项目（12YKS026）
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