Radon measures
David H. Fremlin (2004)
Acta Universitatis Carolinae. Mathematica et Physica
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David H. Fremlin (2004)
Acta Universitatis Carolinae. Mathematica et Physica
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D. Fremlin (1991)
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,...
Piotr Zakrzewski (1992)
Commentationes Mathematicae Universitatis Carolinae
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It is shown that measure extension axioms imply various forms of the Fubini theorem for nonmeasurable sets and functions in Radon measure spaces.