A class of spaces strictly existing between perfect and \(D\)-normal spaces. (Chinese. English summary) Zbl 1073.54513
Summary: We introduce and investigate collectionwise D-normal spaces, which strictly lie between perfect and D-normal spaces. It is proved that a space is collectionwise D-normal if, and only if, it is collectionwise \(\delta\)-normal and D-normal. Meanwhile, some other relative results are obtained.
MSC:
| 54D15 | Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) |
