Relative Collectionwise Normality

Relative Collectionwise Normality

In this paper we study properties of relative collectionwise normality type based on relative properties of normality type introduced by Arhangel’skii and Genedi. Theorem Suppose Y is strongly regular in the space X. If Y is paracompact in X then Y is collectionwise normal in X. Example A T2 space X...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Applied general topology 2004-10, Vol.5 (2), p.199-212
Hauptverfasser: Grabner, Eliser, Grabner, Gary, Miyazaki, Kazumi, Tartir, Jamal
Format: Artikel
Sprache:eng
Schlagworte:
Collectionwise normal
Paracompact
Relative topological properties
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper we study properties of relative collectionwise normality type based on relative properties of normality type introduced by Arhangel’skii and Genedi. Theorem Suppose Y is strongly regular in the space X. If Y is paracompact in X then Y is collectionwise normal in X. Example A T2 space X having a subspace which is 1− paracompact in X but not collectionwise normal in X. Theorem Suppose that Y is s- regular in the space X. If Y is metacompact in X and strongly collectionwise normal in X then Y is paracompact in X.
ISSN:1576-9402
1989-4147
DOI:10.4995/agt.2004.1970