A stabilization property and its applications in theory of sections
A universal null graph whose domain has positive measure
A -porous set need not be -bilaterally porous
A closed subset of the real line which is right porous but is not -left-porous is constructed.
Abstract analytic and borelian sets
Addition linearer Cantormengen
Algèbres d’ensembles sur lesquelles toutes les mesures -additives sont bornées
Alternative definitions of -density topology
An abstract and generalized approach to the Vitali theorem on nonmeasurable sets
Here we present abstract formulations of two theorems of Solecki which deal with some generalizations of the classical Vitali theorem on nonmeasurable sets in spaces with transformation groups.
An analogue of a result of Carathéodory
An Application of Shoenfield's Absoluteness Theorem to the Theory of Uniform Distribution.
An semigroup of zero measure which contains a translate of every countable set
An ideal theoretic characterization of finite sets, finite algebras, and -algebras of countably generated type
An incompatibility theorem
An uncountable partition contained in the atomless σ-field
This short note considers the question of whether every atomless σ-field contains an uncountable partition. The paper comments the situation for a couple of known σ-fields. A negative answer to the question is the main result.
Analytic gaps
We investigate when two orthogonal families of sets of integers can be separated if one of them is analytic.
Antiatomicity of the lattice of Borel structures and extensions of two-valued measures
Applications of certain R-families
Applications of Luzinian separation principles (non-separable case)
Applications of the zero-one law to problems connected with Cauchy's functional equation.
Aronszajn orderings.