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.
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