Supports of Borel measures
Wilfried Seidel (1989)
Fundamenta Mathematicae
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Wilfried Seidel (1989)
Fundamenta Mathematicae
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José L. de María, Baltasar Rodríguez Salinas (1989)
Revista Matemática de la Universidad Complutense de Madrid
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The Radon spaces of type (T), i.e., topological spaces for which every finite Borel measure on Omega is T-additive and T-regular are characterized. The class of these spaces is very wide and in particular it contains the Radon spaces. We extend the results of Marczewski an Sikorski to the sygma-metrizable spaces and to the subsets of the Banach spaces endowed with the weak topology. Finally, the completely additive families of measurable subsets related with the works of Hansell, Koumoullis,...
Kohur Gowrisankaran (1979)
Annales de l'institut Fourier
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A notion of negligible sets for polydiscs is introduced. Some properties of non-negligible sets are proved. These results are used to construct good and good inner functions on polydiscs.
Flachsmeyer, J.
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P. Erdös, H. Kestelman, C. Rogers (1963)
Colloquium Mathematicae
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Miloslav Duchoň (1977)
Mathematica Slovaca
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Kharazishvili, A.B. (1997)
Journal of Applied Analysis
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Jayne, J., Rogers, C. (1995)
Serdica Mathematical Journal
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The main concern of this paper is to present some improvements to results on the existence or non-existence of countably additive Borel measures that are not Radon measures on Banach spaces taken with their weak topologies, on the standard axioms (ZFC) of set-theory. However, to put the results in perspective we shall need to say something about consistency results concerning measurable cardinals.