Strong sequences and the weight of regular spaces

Marian Turzański

Commentationes Mathematicae Universitatis Carolinae (1992)

  • Volume: 33, Issue: 3, page 557-561
  • ISSN: 0010-2628

Abstract

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It will be shown that if in a family of sets there exists a strong sequence of the length ( κ λ ) + then this family contains a subfamily consisting of λ + pairwise disjoint sets. The method of strong sequences will be used for estimating the weight of regular spaces.

How to cite

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Turzański, Marian. "Strong sequences and the weight of regular spaces." Commentationes Mathematicae Universitatis Carolinae 33.3 (1992): 557-561. <http://eudml.org/doc/247326>.

@article{Turzański1992,
abstract = {It will be shown that if in a family of sets there exists a strong sequence of the length $(\kappa ^\{\lambda \})^+$ then this family contains a subfamily consisting of $\lambda ^+$ pairwise disjoint sets. The method of strong sequences will be used for estimating the weight of regular spaces.},
author = {Turzański, Marian},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {strong sequence; Cantor discontinuum; dyadic space; cellularity and weight of space; strong sequence; Cantor discontinuum; dyadic space; cellularity; weight},
language = {eng},
number = {3},
pages = {557-561},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Strong sequences and the weight of regular spaces},
url = {http://eudml.org/doc/247326},
volume = {33},
year = {1992},
}

TY - JOUR
AU - Turzański, Marian
TI - Strong sequences and the weight of regular spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1992
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 33
IS - 3
SP - 557
EP - 561
AB - It will be shown that if in a family of sets there exists a strong sequence of the length $(\kappa ^{\lambda })^+$ then this family contains a subfamily consisting of $\lambda ^+$ pairwise disjoint sets. The method of strong sequences will be used for estimating the weight of regular spaces.
LA - eng
KW - strong sequence; Cantor discontinuum; dyadic space; cellularity and weight of space; strong sequence; Cantor discontinuum; dyadic space; cellularity; weight
UR - http://eudml.org/doc/247326
ER -

References

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  1. Efimov B.A., Diaditcheskie bikompakty (in Russian), Trudy Mosk. Matem. O-va 14 (1965), 211-247. (1965) MR0202105
  2. Efimov B.A., Ob ekstremal’no nesvjaznych bikompaktach π -vesa kontinuum (in Russian), DAN 183 , no. 3 (1968), 15-18. (1968) MR0236878
  3. Efimov B.A., Ekstremal'no nesvjaznye bikompakty (in Russian), Trudy Mosk. Matem. O-va 23 (1970), 235-276. (1970) MR0418016
  4. Hodel R., Cardinal Functions I, Handbook of Set-Theoretic Topology, North-Holland, 1984. Zbl0559.54003MR0776620

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