On finitely subadditive outer measures and modularity properties.
On generators of shy sets on Polish topological vector spaces.
On lattice-topological properties of general Wallman spaces.
On maximal measures with respect to a lattice.
On measure zero sets in topological vector spaces.
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 normal and strongly normal lattices.
On normal lattices and separation and semi-separation of lattices.
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 Prohorov spaces
On Radon measures on first-countable spaces
On regular and sigma-smooth two valued measures and lattice generated topologies.
On separable supports of Borel measures.
On separation of lattices.
On strongly measure replete lattices and the general Wallman remainder
On the almost Lindelöf property in products of separable metric spaces
On the classification of Markov chains via occupation measures
We consider a Markov chain on a locally compact separable metric space and with a unique invariant probability. We show that such a chain can be classified into two categories according to the type of convergence of the expected occupation measures. Several properties in each category are investigated.
On the differentiation theorem in metric groups
On the Hausdorff measures associated to the Carathéodory and Kobayashi metrics