一个严格介于完备与D-正规空间之间的空间类

A Class of Spaces Strictly Existing Between Perfect and D-Normal Spaces

引入并研究了一类严格介于完备空间与D-正规空间之间的空间———集态D-正规空间,证明了空间X是集态D-正规空间当且仅当X是集态δ-正规且D-正规的。与此同时,还得到了其它一些相关结果。

In this paper,we introduce and investigate collectionwise D-normal spaces,which strictly exists between perfect and D-normal spaces.It is proved that a space is collectionwise D-normal if,and only if,it is collectionwiseδ-normal and D-normal.Meanwhile,some other relative results are obtained.