Displaying similar documents to “Rectangular covers of products missing diagonals”

On subsets of Alexandroff duplicates

Takemi Mizokami (2005)

Commentationes Mathematicae Universitatis Carolinae

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We characterize the subsets of the Alexandroff duplicate which have a G δ -diagonal and the subsets which are M-spaces in the sense of Morita.

Some properties of relatively strong pseudocompactness

Guo-Fang Zhang (2008)

Czechoslovak Mathematical Journal

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In this paper, we study some properties of relatively strong pseudocompactness and mainly show that if a Tychonoff space X and a subspace Y satisfy that Y Int Y ¯ and Y is strongly pseudocompact and metacompact in X , then Y is compact in X . We also give an example to demonstrate that the condition Y Int Y ¯ can not be omitted.

Splitting ω -covers

Winfried Just, Andreas Tanner (1997)

Commentationes Mathematicae Universitatis Carolinae

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The authors give a ZFC example for a space with Split ( Ω , Ω ) but not Split ( Λ , Λ ) .