On Measurability of Uncountable Unions of Measurable Sets
On measure zero sets in topological vector spaces.
On minimal generators of σ-fields
On nonmeasurable images
Let be a Polish ideal space and let be any set. We show that under some conditions on a relation it is possible to find a set such that is completely -nonmeasurable, i.e, it is -nonmeasurable in every positive Borel set. We also obtain such a set simultaneously for continuum many relations Our results generalize those from the papers of K. Ciesielski, H. Fejzić, C. Freiling and M. Kysiak.
On nonmeasurable selectors of countable group actions
Given a set X, a countable group H acting on it and a σ-finite H-invariant measure m on X, we study conditions which imply that each selector of H-orbits is nonmeasurable with respect to any H-invariant extension of m.
On nonmeasurable subgroups of the real line.
On nonparadoxical sets
On one generalization of the weakly compactly generated B-spaces
On pointwise limits of sequences of -continuous functions
On projection of nonseparable Souslin and Borel sets along separable spaces
On qualitative cluster sets
On sectorial qualitative cluster sets and directional qualitative cluster sets
On separation properties for families of probability measures.
On sequences of σ-algebras
On sets with Baire property in topological spaces
Steinhaus [9] prove that if a set has a positive Lebesgue measure in the line then its distance set contains an interval. He obtained even stronger forms of this result in [9], which are concerned with mutual distances between points in an infinite sequence of sets. Similar theorems in the case we replace distance by mutual ratio were established by Bose-Majumdar [1]. In the present paper, we endeavour to obtain some results related to sets with Baire property in locally compact topological spaces,...
On several classes of sets II.
On Sierpiński's nonmeasurable set
On similarity between topologies
Let T 1 and T 2 be topologies defined on the same set X and let us say that (X, T 1) and (X, T 2) are similar if the families of sets which have nonempty interior with respect to T 1 and T 2 coincide. The aim of the paper is to study how similar topologies are related with each other.
On small sets in the sense of measure and category
On some ideals and related algebras of sets in the plane