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On the selector of twin functions

Marian Turzański — 1998

Commentationes Mathematicae Universitatis Carolinae

A theorem is proved which could be considered as a bridge between the combinatorics which have a beginning in the dyadic spaces theory and the partition calculus.

Strong sequences, binary families and Esenin-Volpin's theorem

Marian Turzański — 1992

Commentationes Mathematicae Universitatis Carolinae

One of the most important and well known theorem in the class of dyadic spaces is Esenin-Volpin's theorem of weight of dyadic spaces. The aim of this paper is to prove Esenin-Volpin's theorem in general form in class of thick spaces which possesses special subbases.

Strong sequences and the weight of regular spaces

Marian Turzański — 1992

Commentationes Mathematicae Universitatis Carolinae

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.

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