| Title:
|
On the cardinality of Hausdorff spaces (English) |
| Author:
|
Fedeli, Alessandro |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
39 |
| Issue:
|
3 |
| Year:
|
1998 |
| Pages:
|
581-585 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The aim of this paper is to show, using the reflection principle, three new cardinal inequalities. These results improve some well-known bounds on the cardinality of Hausdorff spaces. (English) |
| Keyword:
|
cardinal inequality |
| Keyword:
|
Hausdorff space |
| MSC:
|
54A25 |
| idZBL:
|
Zbl 0913.54004 |
| idMR:
|
MR1666814 |
| . |
| Date available:
|
2009-01-08T18:46:33Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119035 |
| . |
| Reference:
|
[1] Dow A.: An introduction to applications of elementary submodels to topology.Topology Proc. 13 (1988), 17-72. Zbl 0696.03024, MR 1031969 |
| Reference:
|
[2] Dow A.: More set-theory for topologists.Topology Appl. 64 (1995), 243-300. Zbl 0837.54001, MR 1342520 |
| Reference:
|
[3] Engelking R.: General Topology. Revised and completed edition.Sigma Series in Pure Mathematics 6, Heldermann Verlag, Berlin (1989). MR 1039321 |
| Reference:
|
[4] Fedeli A., Watson S.: Elementary submodels and cardinal functions.Topology Proc. 20 (1995), 91-110. Zbl 0894.54008, MR 1429175 |
| Reference:
|
[5] Hodel R.E.: Cardinal Functions I.Handbook of Set-theoretic Topology (Kunen K. and Vaughan J.E., eds.), Elsevier Science Publishers, B.V., North Holland (1984), 1-61. Zbl 0559.54003, MR 0776620 |
| Reference:
|
[6] Hodel R.E.: Combinatorial set theory and cardinal functions inequalities.Proc. Amer. Math. Soc. 111 (1991), 567-575. MR 1039531 |
| Reference:
|
[7] Juhàsz I.: Cardinal Functions in Topology - ten years later.Mathematical Centre Tracts 123, Amsterdam (1980). MR 0576927 |
| Reference:
|
[8] Sun S.H.: Two new topological cardinal inequalities.Proc. Amer. Math. Soc. 104 (1988), 313-316. Zbl 0669.54002, MR 0958090 |
| Reference:
|
[9] Watson S.: The construction of topological spaces: Planks and Resolutions.Recent Progress in General Topology (Hušek M. and Van Mill J., eds.), Elsevier Science Publishers, B.V., North Holland (1992), 675-757. Zbl 0803.54001, MR 1229141 |
| Reference:
|
[10] Watson S.: The Lindelöf number of a power; an introduction to the use of elementary submodels in general topology.Topology Appl. 58 (1994), 25-34. Zbl 0836.54004, MR 1280708 |
| . |
