Remarks on superextensions
On the selector of twin functions
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
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
It will be shown that if in a family of sets there exists a strong sequence of the length then this family contains a subfamily consisting of pairwise disjoint sets. The method of strong sequences will be used for estimating the weight of regular spaces.
On generalizations of dyadic spaces
Subbase characterization of special spaces
A combinatorial theorem for a symmetric triangulation of the sphere
Bijections onto compact spaces
Bijections of scattered spaces onto compact Hausdorff
From a Ramsey-type theorem to indepedence
Parametric extension of the Poincaré theorem
On Aumann's theorem that the circle does not admit a mean
Steinhaus chessboard theorem
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