摘要
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.
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.
出处
《数学的实践与认识》
CSCD
北大核心
2012年第11期239-245,共7页
Mathematics in Practice and Theory
基金
河南省自然科学基金项目(122300410071
102300410153)
