Relative Collectionwise Normality

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1970-6154-1-SM.pdf (191.08 KB)

Fecha

2004-10-01

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Handle

https://riunet.upv.es/handle/10251/82559

Cita bibliográfica

Grabner, E.; Grabner, G.; Miyazaki, K.; Tartir, J. (2004). Relative Collectionwise Normality. Applied General Topology. 5(2):199-212. https://doi.org/10.4995/agt.2004.1970

Titulación

Resumen

[EN] 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.

Palabras clave

Paracompact, Collectionwise norma, Relative topological properties

Fuente

Applied General Topology issn: 1576-9402

DOI

10.4995/agt.2004.1970

Versión del editor

https://doi.org/10.4995/agt.2004.1970

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Applied General Topology - Vol 05, No 2 (2004)