Non-Baire unions in category bases.
Non-compact random generalized games and random quasi-variational inequalities.
Nonmeasurable algebraic sums of sets of reals
We present a theorem which generalizes some known theorems on the existence of nonmeasurable (in various senses) sets of the form X+Y. Some additional related questions concerning measure, category and the algebra of Borel sets are also studied.
Non-separable analytic spaces and measurability
Non-transitive points and porosity
We establish that for a fairly general class of topologically transitive dynamical systems, the set of non-transitive points is very small when the rate of transitivity is very high. The notion of smallness that we consider here is that of σ-porosity, and in particular we show that the set of non-transitive points is σ-porous for any subshift that is a factor of a transitive subshift of finite type, and for the tent map of [0,1]. The result extends to some finite-to-one factor systems. We also show...
Normal subgroups of measurable automorphisms
Norms on possibilities. II: More ccc ideals on .
On a class of arithmetical sets
On a decomposition of Banach spaces
By using D. Preiss' approach to a construction from a paper by J. Matoušek and E. Matoušková, and some results of E. Matoušková, we prove that we can decompose a separable Banach space with modulus of convexity of power type p as a union of a ball small set (in a rather strong symmetric sense) and a set which is Aronszajn null. This improves an earlier unpublished result of E. Matoušková. As a corollary, in each separable Banach space with modulus of convexity of power type p, there exists a closed...
On a measurable set
On a paper by Karel Prikry concerning Ulam's problem on families of measures
On A Paper Of Saha And Ray
On a question of H. Kraljevic.
On a set in under coordinate transformations
On a theorem of Holický and Zelený concerning Borel maps without -compact fibers
The paper is concerned with a recent very interesting theorem obtained by Holický and Zelený. We provide an alternative proof avoiding games used by Holický and Zelený and give some generalizations to the case of set-valued mappings.
On absolutely measurable sets
On almost invariant subsets of the real line
On an Abstract Formulation of Regularity
On analytic-dense Blackwell sets
On bimeasurable images of universally measurable sets