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.
@article{118523,
author = {Marian Turza\'nski},
title = {Strong sequences and the weight of regular spaces},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {33},
year = {1992},
pages = {557-561},
zbl = {0793.54016},
mrnumber = {1209297},
language = {en},
url = {http://dml.mathdoc.fr/item/118523}
}
Turzański, Marian. Strong sequences and the weight of regular spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) pp. 557-561. http://gdmltest.u-ga.fr/item/118523/
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