完备正规空间的函数刻画  

Function Characterizations of Perfectly Normal Spaces

作　　者：许云 XU Yun(School of Mathematics & Physics,Anhui University of Technology,243002,Maanshan,Anhui,China)

机构地区：[1]安徽工业大学数理科学与工程学院,安徽马鞍山243002

出　　处：《淮北师范大学学报（自然科学版）》2018年第1期18-21,共4页Journal of Huaibei Normal University：Natural Sciences

摘　　要：文章研究完备正规空间的一些性质.通过利用实值函数给出完备正规空间的若干等价刻画,并形成相关结论.这些结论改进文献中的某些已知结论.In this paper,we mainly study some properties of perfectly normal spaces.By using real-valued functions,some equivalent characterizations of perfectly normal spaces are given,and relevant conclusions are formed.These conclusions will improve some known conclusions in the literature.

关 键 词：完备正规空间 实值函数 半连续函数 

分 类 号：O189.11[理学—数学]