On Alexandrov lattices.
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On asymptotic density and uniformly distributed sequences
Ryszard Frankiewicz, Grzegorz Plebanek (1996)
Studia Mathematica
Assuming Martin's axiom we show that if X is a dyadic space of weight at most continuum then every Radon measure on X admits a uniformly distributed sequence. This answers a problem posed by Mercourakis [10]. Our proof is based on an auxiliary result concerning finitely additive measures on ω and asymptotic density.
On barycentrs in non-compact sets
von Weizsäcker, Heinrich (1976)
Abstracta. 4th Winter School on Abstract Analysis
On certain Wallman spaces.
Connell, Roy (1994)
International Journal of Mathematics and Mathematical Sciences
On compact spaces carrying Radon measures of uncountable Maharam type
David Fremlin (1997)
Fundamenta Mathematicae
If Martin’s Axiom is true and the continuum hypothesis is false, and X is a compact Radon measure space with a non-separable space, then there is a continuous surjection from X onto .
On compact spaces carrying random measures of large Maharam type
Grzegorz Plebanek (2002)
Acta Universitatis Carolinae. Mathematica et Physica
On compactness of lattices.
Vlad, Carmen D. (2005)
International Journal of Mathematics and Mathematical Sciences
On constructing finite, finitely subadditive outer measures, and submodularity.
Traina, Charles (2008)
International Journal of Mathematics and Mathematical Sciences
On extension of Baire submeasures
Ivan Dobrakov (1985)
Mathematica Slovaca
On finitely subadditive outer measures and modularity properties.
Traina, Charles (2003)
International Journal of Mathematics and Mathematical Sciences
On generators of shy sets on Polish topological vector spaces.
Pantsulaia, G.R. (2008)
The New York Journal of Mathematics [electronic only]
On lattice-topological properties of general Wallman spaces.
Vlad, Carmen (1998)
International Journal of Mathematics and Mathematical Sciences
On maximal measures with respect to a lattice.
Camacho, James jun. (1991)
International Journal of Mathematics and Mathematical Sciences
On measure zero sets in topological vector spaces.
Grinč, M. (1996)
Acta Mathematica Universitatis Comenianae. New Series
On nearly radial marginals of high-dimensional probability measures
Bo'az Klartag (2010)
Journal of the European Mathematical Society
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.
Yallaoui, El-Bachir (1993)
International Journal of Mathematics and Mathematical Sciences
On normal lattices and separation and semi-separation of lattices.
Schutz, Robert W. (1992)
International Journal of Mathematics and Mathematical Sciences
On outer measures and semi-separation of lattices.
Schutz, Robert W. (1995)
International Journal of Mathematics and Mathematical Sciences
On Pettis integral and Radon measures
Grzegorz Plebanek (1998)
Fundamenta Mathematicae
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
G. Cox (1983)
Fundamenta Mathematicae
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