完备正规空间的函数刻画

Function Characterizations of Perfectly Normal Spaces

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.