Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4658220 | Topology and its Applications | 2015 | 15 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Yasushi Hirata, Yukinobu Yajima,