Displaying similar documents to “On the existence of measures on σ-algebras”

Radon measures

David H. Fremlin (2004)

Acta Universitatis Carolinae. Mathematica et Physica

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Uniformly countably additive families of measures and group invariant measures.

Baltasar Rodríguez-Salinas (1998)

Collectanea Mathematica

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The extension of finitely additive measures that are invariant under a group permutations or mappings has already been widely studied. We have dealt with this problem previously from the point of view of Hahn-Banach's theorem and von Neumann's measurable groups theory. In this paper we construct countably additive measures from a close point of view, different to that of Haar's Measure Theory.

Approximating Radon measures on first-countable compact spaces

Grzegorz Plebanek (2000)

Colloquium Mathematicae

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The assertion every Radon measure defined on a first-countable compact space is uniformly regular is shown to be relatively consistent. We prove an analogous result on the existence of uniformly distributed sequences in compact spaces of small character. We also present two related examples constructed under CH.