On maximal measures with respect to a lattice.
On measure zero sets in topological vector spaces.
On measures in fibre spaces
On Measures Integrating All Functions of a Given Vector Lattice.
On nearly radial marginals of high-dimensional probability measures
Suppose that is an absolutely continuous probability measure on n, for large . Then has low-dimensional marginals that are approximately spherically-symmetric. More precisely, if , then there exist -dimensional marginals of that are -far from being sphericallysymmetric, in an appropriate sense. Here is a universal constant.
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 normal and strongly normal lattices.
On normal lattices and separation and semi-separation of lattices.
On Ordinary and Standard Lebesgue Measures on
New concepts of Lebesgue measure on are proposed and some of their realizations in the ZFC theory are given. Also, it is shown that Baker’s both measures [1], [2], Mankiewicz and Preiss-Tišer generators [6] and the measure of [4] are not α-standard Lebesgue measures on for α = (1,1,...).
On outer measures and semi-separation of lattices.
On Pettis integral and Radon measures
Assuming the continuum hypothesis, we construct a universally weakly measurable function from [0,1] into a dual of some weakly compactly generated Banach space, which is not Pettis integrable. This (partially) solves a problem posed by Riddle, Saab and Uhl [13]. We prove two results related to Pettis integration in dual Banach spaces. We also contribute to the problem whether it is consistent that every bounded function which is weakly measurable with respect to some Radon measure is Pettis integrable....
On Poisson and composed Poisson stochastic set functions
On Probability Function On Pseudo-Boolean Algebra
On products of Radon measures
Let with card Γ ≥ c (c denotes the continuum). We construct two Radon measures μ,ν on X such that there exist open subsets of X × X which are not measurable for the simple outer product measure. Moreover, these measures are strikingly similar to the Lebesgue product measure: for every finite F ⊆ Γ, the projections of μ and ν onto are equivalent to the F-dimensional Lebesgue measure. We generalize this construction to any compact group of weight ≥ c, by replacing the Lebesgue product measure...
On Prohorov spaces
On quasi-invariant measures in topological vector spaces.
On Radon measures on first-countable spaces
On regular and sigma-smooth two valued measures and lattice generated topologies.
On Sazonov Type Topology in p-adic Banach Space.
On separable supports of Borel measures.