P-可测空间及其可测函数

经典集合理论认为集合就是具有一定属性的对象所构成的整体,当一个普通集合的属性发生改变时,由此生成的新的集合称为P-集合.在测度空间上研究P-集合时所生成的新的空间称为P-测度空间.由于任何测度空间均可转化为概率空间,首先利用随机数的产生研究了随机P-集合的产生.然后借助P-可测空间提出了内P-可测映射、内P-可测函数和外P-可测映射、外P-可测函数及P-可测,给出了其有关性质.

P- Measure Space and it's Measure Function

some certain properties,and when the properties of an ordinary set were changed, a new set was generated which called P-set.The new generated space was called P- measure space when one did research on P-set in the measure space.Because any measure space could be transformed to probability space,so,in this paper,by utilizing the generating of random numbers,one researched the generating of random P-set.Then,based on the P- measurable space,within P-measurable mapping,within P-measurable function,external P- measurable mapping,external P- measurable function as well as P- measurable and some properties were brought up.