relative collectionwise normality
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ID: 169125
2004
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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.
| Reference Key |
grabner2004appliedrelative
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|---|---|
| Authors | ;Eliser Grabner;Gary Grabner;Kazumi Miyazaki;Jamal Tartir |
| Journal | Health and quality of life outcomes |
| Year | 2004 |
| DOI |
10.4995/agt.2004.1970
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| URL | |
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