Relative star normal type

In their study of relative metric spaces, Arkhangel'skiĭ 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'...

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Bibliographic Details
Published in:Topology and its applications 2005-12, Vol.153 (5), p.874-885
Main Authors: Grabner, Elise, Grabner, Gary, Miyazaki, Kazumi, Tartir, Jamal
Format: Article
Language:English
Subjects:
Relative metric spaces
Relative properties of paracompactness
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Summary:In their study of relative metric spaces, Arkhangel'skiĭ 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'skiĭ and Gordienko. Theorem If Y is strongly regular in X and 3 paracompact in X then Y is star normal in X. Theorem Y is strongly star normal in X if and only if Y is Aull paracompact in X. Corollary If Y is strongly star normal in X then Y is 2 -paracompact in X. Corollary If Y is properly metrizable in X then Y is strongly star normal in X.
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2005.01.017