relative collectionwise normality

relative collectionwise normality

;Eliser Grabner;Gary Grabner;Kazumi Miyazaki;Jamal Tartir
Health and quality of life outcomes 2004 Vol. 5 pp. 199-212
109
grabner2004appliedrelative

Abstract

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.

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ID: 169125
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169125
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10.4995/agt.2004.1970
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