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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