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Displaying similar documents to “The G δ -topology and incompactness of ω α

The sizes of relatively compact T 1 -spaces

Winfried Just (1996)

Commentationes Mathematicae Universitatis Carolinae

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The relativization of Gryzlov’s theorem about the size of compact T 1 -spaces with countable pseudocharacter is false.

Local cardinal functions of H-closed spaces

Angelo Bella, Jack R. Porter (1996)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

The cardinal functions of pseudocharacter, closed pseudocharacter, and character are used to examine H-closed spaces and to contrast the differences between H-closed and minimal Hausdorff spaces. An H-closed space X is produced with the properties that | X | > 2 2 ψ ( X ) and ψ ¯ ( X ) > 2 ψ ( X ) .