| Title:
|
Local cardinal functions of H-closed spaces (English) |
| Author:
|
Bella, Angelo |
| Author:
|
Porter, Jack R. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
37 |
| Issue:
|
2 |
| Year:
|
1996 |
| Pages:
|
371-374 |
| . |
| Category:
|
math |
| . |
| Summary:
|
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 $\overline{\psi}(X)>2^{\psi(X)}$. (English) |
| Keyword:
|
H-closed |
| Keyword:
|
cardinal functions |
| Keyword:
|
measurable cardinals |
| MSC:
|
54A25 |
| MSC:
|
54D35 |
| idZBL:
|
Zbl 0854.54003 |
| idMR:
|
MR1399007 |
| . |
| Date available:
|
2009-01-08T18:23:59Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118837 |
| . |
| Reference:
|
[DP] Dow A., Porter J.: Cardinalities of H-closed spaces.Topology Proceedings 7 (1982), 27-50. Zbl 0569.54004, MR 0696618 |
| Reference:
|
[E] Engelking R.: General Topology.Warsaw, 1977. Zbl 0684.54001, MR 0500780 |
| Reference:
|
[H] Hodel R.G.: Cardinal function I.in Handbook of Set-theoretical Topology, K. Kunen and J. Vaughan ed., North Holland-Amsterdam, 1984. MR 0776619 |
| Reference:
|
[PW] Porter J.R., Woods R.G.: Extensions and Absolutes of Hausdorff Spaces.Springer-Verlag, Berlin, 1988. Zbl 0652.54016, MR 0918341 |
| . |
