A Lebesgue non-measurable set with characteristic function that is somewhat similar to Dirchlet function is given,according to the properties of the essentialization theorem on Lebesgue measurable function.
利用勒贝格可测函数的本性化定理的性质,给出一个特征函数与狄里克莱函数有些相仿的勒贝格不可测集。
This paper mainly concerns the construction of one-dimension nonmeasurable set and the cardinality of its class.
该文主要探讨一维不可测集的构造以及一维不可测集全体所组成的类的势。