Compact Boolean algebras
Wiesław Głowczyński (2005)
Acta Universitatis Carolinae. Mathematica et Physica
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Displaying similar documents to “Outer measure on boolean algebras”
Compact Boolean algebras
Boolean operations over measure algebras
A. Kamburelis, M. Kutyłowski (1986)
Colloquium Mathematicae
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Measure-determined enlargements of Boolean -algebras
Pavel Pták (1990)
Commentationes Mathematicae Universitatis Carolinae
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Sequential closedness of Boolean algebras of projections in Banach spaces
D. H. Fremlin, B. de Pagter, W. J. Ricker (2005)
Studia Mathematica
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Complete and σ-complete Boolean algebras of projections acting in a Banach space were introduced by W. Bade in the 1950's. A basic fact is that every complete Boolean algebra of projections is necessarily a closed set for the strong operator topology. Here we address the analogous question for σ-complete Boolean algebras: are they always a sequentially closed set for the strong operator topology? For the atomic case the answer is shown to be affirmative. For the general case, we develop...
On measures in cartesian products of Boolean algebras
Roman Sikorski (1951)
Colloquium Mathematicum
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On a problem of Sikorski in the set representability of Boolean algebras
Robert Lagrange (1974)
Colloquium Mathematicae
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The elementary-equivalence classes of clopen algebras of P-spaces
Brian Wynne (2008)
Fundamenta Mathematicae
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Two Boolean algebras are elementarily equivalent if and only if they satisfy the same first-order statements in the language of Boolean algebras. We prove that every Boolean algebra is elementarily equivalent to the algebra of clopen subsets of a normal P-space.