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/
Diaditcheskie bikompakty (in Russian), Trudy Mosk. Matem. O-va 14 (1965), 211-247. (1965) | MR 0202105
Ob ekstremal'no nesvjaznych bikompaktach $\pi $-vesa kontinuum (in Russian), DAN 183 , no. 3 (1968), 15-18. (1968) | MR 0236878
Ekstremal'no nesvjaznye bikompakty (in Russian), Trudy Mosk. Matem. O-va 23 (1970), 235-276. (1970) | MR 0418016
Cardinal Functions I, Handbook of Set-Theoretic Topology, North-Holland, 1984. | MR 0776620 | Zbl 0559.54003