Lebesgue外测度的有限可加性

The Finite Additivity of the Lebesgue Outer Measure

对Lebesgue外测度进行研究,得到了外测具有有限可加的两个充分条件以及一个充要条件,它改进了原有相关问题的结果。

The paper studies the Lebesgue outer measure, Two sufficient conditions of the result that the Lebesgue outer measure has the feature of finite additivity have been obtained, and therefore, a sufficient and necessary condition of the result has also been obtained, which have reformed the consequence that existed.