Article ID Journal Published Year Pages File Type
4659803 Topology and its Applications 2011 6 Pages PDF
Abstract

We show that the product of a subparacompact C-scattered space and a Lindelöf D-space is D. In addition, we show that every regular locally D-space which is the union of a finite collection of subparacompact spaces and metacompact spaces has the D-property. Also, we extend this result from the class of locally D-spaces to the wider class of D-scattered spaces. All the results are shown in a direct way.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology