S-饱和集的性质及其应用  

Properties of S-satuated set and its applications

作　　者：张卫国[1] 韩俊峰[2] 

机构地区：[1]西安科技大学计算机系,陕西西安710054 [2]武警工程学院训练部,陕西西安710086

出　　处：《西安科技大学学报》2007年第3期520-522,共3页Journal of Xi’an University of Science and Technology

摘　　要：在一般拓扑空间(X,τ)的非标准扩张(*X,*τ)中引入S-饱和集的概念。在一定条件下,St映射对于S-饱和集保持集的基本运算。基于这一事实,证明了标准Souslin集与Loeb可测集的关系定理,得到*μL-零集在St映射下μ-零集的一个充分条件。This paper deals with notion of S-saturated set in the setting of nonstandard extention （ ＊X,＊τ） for toplogical space （X, τ）. In certain condition the standard part mapping can have operations of set for S-saturated set. On basis of this fact, we poof theorem about relationship between the standard souslin set and Loeb measurable set. We gives a ＊μL- -zero set isμ-zero set in standard part mapping.

关 键 词：St映射 S-饱和集 LOEB测度 

分 类 号：O141.41[理学—数学]