From finite to countable additivity
Maharam, Dorothy (1987)
Portugaliae mathematica
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Displaying similar documents to “Some topological consequences of the Product Measure Extension Axiom”
From finite to countable additivity
-additive topological spaces
Giuliano Artico, Roberto Moresco (1982)
Rendiconti del Seminario Matematico della Università di Padova
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A new kind of compactness for topological spaces
Allen Bernstein (1970)
Fundamenta Mathematicae
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Metrization, paracompactness, and real-valued functions II
J. Guthrie, Michael Henry (1979)
Fundamenta Mathematicae
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On abstract Stieltjes measure
James E. Huneycutt Jr. (1971)
Annales de l'institut Fourier
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In 1955, A. Revuz - Annales de l’Institut Fourier, vol. 6 (1955-56) - considered a type of Stieltjes measure defined on analogues of half-open, half-closed intervals in a partially ordered topological space. He states that these functions are finitely additive but his proof has an error. We shall furnish a new proof and extend some of this results to “measures” taking values in a topological abelian group.
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.
A set function without -additive extension having finitely additive extensions arbitrarily close to -additivity
Jörn Lembcke (1980)
Czechoslovak Mathematical Journal
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