×

Concept of strongly normal spaces – a subclass of \(N\)-scattered spaces. (English) Zbl 1109.54019

Summary: Strong normality is a new concept defined in this paper. It is shown that the class of strongly normal \(T_{1}\)-spaces is a subclass of the intersection of the classes of completely normal spaces and \(N\)-scattered spaces. In addition to studying some basic properties of these spaces it is shown that metrizable spaces and compact Hausdorff spaces are not necessarily strongly normal.

MSC:

54D60 Realcompactness and realcompactification
54C45 \(C\)- and \(C^*\)-embedding
PDFBibTeX XMLCite