| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9516898 | Topology and its Applications | 2005 | 12 Pages |
Abstract
In their study of relative metric spaces, Arkhangel'skiÄ and Gordienko introduce several relative properties of paracompactness type. We investigate the relationships between these properties and other relative properties of paracompactness type and answer two questions raised by Arkhangel'skiÄ and Gordienko. TheoremIf Y is strongly regular in X and 3 paracompact in X then Y is star normal in X.TheoremY is strongly star normal in X if and only if Y is Aull paracompact in X.CorollaryIf Y is strongly star normal in X then Y is 2-paracompact in X.CorollaryIf Y is properly metrizable in X then Y is strongly star normal in X.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Elise Grabner, Gary Grabner, Kazumi Miyazaki, Jamal Tartir,