【摘要】 测度的扩张是从简单集上的测度出发,来构造更复杂集类上的测度.本文首先对测度扩张的理论做了一个简单总结,然后引进了一个新集类———弱半环,给出了其上的测度扩张定理,它推广了Caratheodory测度扩张定理.更多还原

【Abstract】 Measure extension is the measure generalization from the measure on a simple class of sets to a more complicated one.In this paper,a brief review of the theory of the measure extension is given in the first,then a new concept——weak semi-ring is introduced,and the measure extension on it is followed,which has generalized the Caratheodory measure extension theorem.更多还原