测度的扩张

Extension of Measures

主要讨论了如何将定义在环上的测度扩张成σ-环上的测度．文中首先介绍了由一个测度可以引出一个外测度,由一个外测度也可以引出一个测度．然后我们从一个测度μ出发,先建立由它引出的外测度,再建立由(?)引出的测度(?),我们要问:μ和(?)之间存在什么关系?这篇论文的目的就在回答这个问题．

This thesis mainly disc,ussed how to extend a measure on a ring to the generated -ring. First,the thesis introduced a measure induced an outer measure land that an outer measure induced a measure ,both in a certain natural way. Then,we start with a measure μ form the induced outer measure ,and then from the measure induced by .What is the relation between μ and ？ The main purpose of the thesis is to answer this question.