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Displaying similar documents to “Sequential closedness of Boolean algebras of projections in Banach spaces”

Compact Boolean algebras

Wiesław Głowczyński (2005)

Acta Universitatis Carolinae. Mathematica et Physica

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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.

Convergence and submeasures in Boolean algebras

Tomáš Jech (2018)

Commentationes Mathematicae Universitatis Carolinae

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A Boolean algebra carries a strictly positive exhaustive submeasure if and only if it has a sequential topology that is uniformly Fréchet.

Sequential convergences on Boolean algebras defined by systems of maximal filters

Roman Frič, Ján Jakubík (2001)

Czechoslovak Mathematical Journal

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We study sequential convergences defined on a Boolean algebra by systems of maximal filters. We describe the order properties of the system of all such convergences. We introduce the category of 2-generated convergence Boolean algebras and generalize the construction of Novák sequential envelope to such algebras.