Displaying similar documents to “On Nearly Paracompact Spaces and Nearly Full Normality”

On Θ -regular spaces.

Kovár, Martin M. (1994)

International Journal of Mathematics and Mathematical Sciences

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Criterion of Normality of the Completely Regular Topology of Separate Continuity

Grinshpon, Yakov S. (2006)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 54C10, 54D15, 54G12. For given completely regular topological spaces X and Y, there is a completely regular space X ~⊗ Y such that for any completely regular space Z a mapping f : X × Y ⊗ Z is separately continuous if and only if f : X ~⊗ Y→ Z is continuous. We prove a necessary condition of normality, a sufficient condition of collectionwise normality, and a criterion of normality of the products X ~⊗ Y in the case when at least...

On P 3 -paracompact spaces.

Al-Zoubi, Khalid, Al-Ghour, Samer (2007)

International Journal of Mathematics and Mathematical Sciences

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Some versions of relative paracompactness and their absolute embeddings

Shinji Kawaguchi (2007)

Commentationes Mathematicae Universitatis Carolinae

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Arhangel’skii [Sci. Math. Jpn. 55 (2002), 153–201] defined notions of relative paracompactness in terms of locally finite open partial refinement and asked if one can generalize the notions above to the well known Michael’s criteria of paracompactness in [17] and [18]. In this paper, we consider some versions of relative paracompactness defined by locally finite (not necessarily open) partial refinement or locally finite closed partial refinement, and also consider closure-preserving...