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 $\overline{\psi}(X)>2^{\psi(X)}$.
@article{118837,
author = {Angelo Bella and Jack R. Porter},
title = {Local cardinal functions of H-closed spaces},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {37},
year = {1996},
pages = {371-374},
zbl = {0854.54003},
mrnumber = {1399007},
language = {en},
url = {http://dml.mathdoc.fr/item/118837}
}
Bella, Angelo; Porter, Jack R. Local cardinal functions of H-closed spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) pp. 371-374. http://gdmltest.u-ga.fr/item/118837/
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