Normality in k-and-\(\aleph\) spaces
The author obtains several very interesting results concerning the topological properties of k-\(\aleph\)-spaces. Here are a few results: There is a non-normal g-metrizable (therefore, k-\(\aleph\)-) space. [MA\(+\neg CH\)]. There is a \(k\)-\(\aleph_ 0\)-space that is not monotonically normal. (The question remains if such a space exists under ZFC.) A k-\(\aleph\)-space with a \(\sigma\)-locally finite cover by compact sets is monotonically normal. A k-semistratifiable k-space with sequential order \(\alpha <\omega_ 1\) is stratifiable.
scientific article; zbMATH DE number 3971734
scientific article