Article ID Journal Published Year Pages File Type
4658220 Topology and its Applications 2015 15 Pages PDF
Abstract

We first point out that the product of a subparacompact DCDC-like space and a subparacompact D-space is a D  -space. As a main result, we use elementary submodels to prove that any countable product of subparacompact DCDC-like spaces is a D  -space. More generally, we prove that any uncountable product of subparacompact DCDC-like spaces is a D-space if and only if all but countably many of the factors are compact.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
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