Geodesic
Strong sequences and the weight of regular spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 3, pp. 557-561

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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.
Classification : 05A99, 54A25, 54D10
Keywords: strong sequence; Cantor discontinuum; dyadic space; cellularity and weight of space 
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     title = {Strong sequences and the weight of regular spaces},
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Turzański, Marian. Strong sequences and the weight of regular spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 3, pp. 557-561. http://geodesic.mathdoc.fr/item/CMUC_1992__33_3_a17/