On the cardinality of Hausdorff spaces

Alessandro Fedeli

Commentationes Mathematicae Universitatis Carolinae (1998)

  • Volume: 39, Issue: 3, page 581-585
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Fedeli, Alessandro. "On the cardinality of Hausdorff spaces." Commentationes Mathematicae Universitatis Carolinae 39.3 (1998): 581-585. <http://eudml.org/doc/22365>.

@article{Fedeli1998,
abstract = {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.},
author = {Fedeli, Alessandro},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {cardinal inequality; Hausdorff space; elementary submodels; reflection principle; cardinality},
language = {eng},
number = {3},
pages = {581-585},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the cardinality of Hausdorff spaces},
url = {http://eudml.org/doc/22365},
volume = {39},
year = {1998},
}

TY - JOUR
AU - Fedeli, Alessandro
TI - On the cardinality of Hausdorff spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1998
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 39
IS - 3
SP - 581
EP - 585
AB - 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.
LA - eng
KW - cardinal inequality; Hausdorff space; elementary submodels; reflection principle; cardinality
UR - http://eudml.org/doc/22365
ER -

References

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  6. Hodel R.E., Combinatorial set theory and cardinal functions inequalities, Proc. Amer. Math. Soc. 111 (1991), 567-575. (1991) Zbl0713.54007MR1039531
  7. Juhàsz I., Cardinal Functions in Topology - ten years later, Mathematical Centre Tracts 123, Amsterdam (1980). (1980) Zbl0479.54001MR0576927
  8. Sun S.H., Two new topological cardinal inequalities, Proc. Amer. Math. Soc. 104 (1988), 313-316. (1988) Zbl0669.54002MR0958090
  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. (1992) Zbl0803.54001MR1229141
  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. (1994) Zbl0836.54004MR1280708

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