Displaying similar documents to “Exhaustive zero-convergence structures on Boolean algebras”

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.

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.

Compact Boolean algebras

Wiesław Głowczyński (2005)

Acta Universitatis Carolinae. Mathematica et Physica

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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...