Angelo Bella, Jack R. Porter
Local cardinal functions of H-closed spaces

Comment.Math.Univ.Carolinae 37,2 (1996) 371-374.

Abstract: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 $|X|>2^{2^{\psi (X)}}$ and $\overline {\psi }(X)>2^{\psi (X)}$.

Keywords: H-closed, cardinal functions, measurable cardinals
AMS Subject Classification: 54A25, 54D35

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