Local cardinal functions of H-closed spaces

Angelo Bella; Jack R. Porter

Commentationes Mathematicae Universitatis Carolinae (1996)

  • Volume: 37, Issue: 2, page 371-374
  • ISSN: 0010-2628

Abstract

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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 ) .

How to cite

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Bella, Angelo, and Porter, Jack R.. "Local cardinal functions of H-closed spaces." Commentationes Mathematicae Universitatis Carolinae 37.2 (1996): 371-374. <http://eudml.org/doc/247926>.

@article{Bella1996,
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 $\overline\{\psi \}(X)>2^\{\psi (X)\}$.},
author = {Bella, Angelo, Porter, Jack R.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {H-closed; cardinal functions; measurable cardinals; measurable cardinals; closed pseudocharacter; character},
language = {eng},
number = {2},
pages = {371-374},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Local cardinal functions of H-closed spaces},
url = {http://eudml.org/doc/247926},
volume = {37},
year = {1996},
}

TY - JOUR
AU - Bella, Angelo
AU - Porter, Jack R.
TI - Local cardinal functions of H-closed spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1996
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 37
IS - 2
SP - 371
EP - 374
AB - 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 $\overline{\psi }(X)>2^{\psi (X)}$.
LA - eng
KW - H-closed; cardinal functions; measurable cardinals; measurable cardinals; closed pseudocharacter; character
UR - http://eudml.org/doc/247926
ER -

References

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  1. Dow A., Porter J., Cardinalities of H-closed spaces, Topology Proceedings 7 (1982), 27-50. (1982) Zbl0569.54004MR0696618
  2. Engelking R., General Topology, Warsaw, 1977. Zbl0684.54001MR0500780
  3. Hodel R.G., Cardinal function I, in Handbook of Set-theoretical Topology, K. Kunen and J. Vaughan ed., North Holland-Amsterdam, 1984. MR0776619
  4. Porter J.R., Woods R.G., Extensions and Absolutes of Hausdorff Spaces, Springer-Verlag, Berlin, 1988. Zbl0652.54016MR0918341

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