Relative Collectionwise Normality | Zendy

Eliser Grabner | Zendy; Gary Grabner | Zendy; Kazumi Miyazaki | Zendy; Jamal K. Tartir | Zendy

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Relative Collectionwise Normality

Author(s) -

Eliser Grabner,

Gary Grabner,

Kazumi Miyazaki,

Jamal K. Tartir

Publication year - 2004

Publication title -

applied general topology

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.638

H-Index - 13

eISSN - 1989-4147

pISSN - 1576-9402

DOI - 10.4995/agt.2004.1970

Subject(s) - paracompact space , normality , mathematics , subspace topology , space (punctuation) , type (biology) , pure mathematics , combinatorics , discrete mathematics , mathematical analysis , statistics , hausdorff space , linguistics , ecology , philosophy , biology

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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