Relative Collectionwise Normality
Keywords:Paracompact, Collectionwise normal, Relative topological properties
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 1âˆ’ 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.
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