| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4660525 | Topology and its Applications | 2010 | 6 Pages |
Abstract
We introduce a generalization of D-spaces, which we call linearly D-spaces. The following results are obtained for a T1-space X.–X is linearly Lindelöf if, and only if, X is a linearly D-space of countable extent.–X is linearly D provided that X is submetaLindelöf.–X is linearly D provided that X is the union of finitely many linearly D-subspaces.–X is compact provided that X is countably compact and X is the union of countably many linearly D-subspaces.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
