On the cardinality of Hausdorff spaces
Fedeli, Alessandro
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998), p. 581-585 / Harvested from Czech Digital Mathematics Library

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.

Publié le : 1998-01-01
Classification:  54A25
@article{119035,
     author = {Alessandro Fedeli},
     title = {On the cardinality of Hausdorff spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {39},
     year = {1998},
     pages = {581-585},
     zbl = {0913.54004},
     mrnumber = {1666814},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119035}
}
Fedeli, Alessandro. On the cardinality of Hausdorff spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) pp. 581-585. http://gdmltest.u-ga.fr/item/119035/

Dow A. An introduction to applications of elementary submodels to topology, Topology Proc. 13 (1988), 17-72. (1988) | MR 1031969 | Zbl 0696.03024

Dow A. More set-theory for topologists, Topology Appl. 64 (1995), 243-300. (1995) | MR 1342520 | Zbl 0837.54001

Engelking R. General Topology. Revised and completed edition, Sigma Series in Pure Mathematics 6, Heldermann Verlag, Berlin (1989). (1989) | MR 1039321

Fedeli A.; Watson S. Elementary submodels and cardinal functions, Topology Proc. 20 (1995), 91-110. (1995) | MR 1429175 | Zbl 0894.54008

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. (1984) | MR 0776620 | Zbl 0559.54003

Hodel R.E. Combinatorial set theory and cardinal functions inequalities, Proc. Amer. Math. Soc. 111 (1991), 567-575. (1991) | MR 1039531

Juhàsz I. Cardinal Functions in Topology - ten years later, Mathematical Centre Tracts 123, Amsterdam (1980). (1980) | MR 0576927

Sun S.H. Two new topological cardinal inequalities, Proc. Amer. Math. Soc. 104 (1988), 313-316. (1988) | MR 0958090 | Zbl 0669.54002

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. (1992) | MR 1229141 | Zbl 0803.54001

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. (1994) | MR 1280708 | Zbl 0836.54004