Relative Collectionwise Normality

• Grabner, Eliser ^[1] ; Grabner, Gary ^[1] ; Miyazaki, Kazumi ^[3] ; Tartir, Jamal ^[2]
  1. [1] Slippery Rock University

     Slippery Rock University

     Borough of Slippery Rock, Estados Unidos

     
  2. [2] Youngstown State University

     Youngstown State University

     City of Youngstown, Estados Unidos

     
  3. [3] Osaka Elector-Communication University

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• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 5, Nº. 2, 2004, págs. 199-212
• Idioma: inglés
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  • 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.