Radical classes of generalized Boolean algebras
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Ján Jakubík (1998)
Czechoslovak Mathematical Journal
Hans Dobbertin (1983)
Mathematische Annalen
Jürgen Schmidt, Constantine Tsinakis (1977)
Mathematische Zeitschrift
G. Plebauek (1993)
Fundamenta Mathematicae
The paper offers a generalization of Kalton-Roberts' theorem on uniformly exhaustive Maharam's submeasures to the case of arbitrary sequentially continuous functionals. Applying the result one can reduce the problem of measurability of sequential cardinals to the question whether sequentially continuous functionals are uniformly exhaustive.
Błaszczyk, A. (1985)
Proceedings of the 13th Winter School on Abstract Analysis
Virgilio Muškardin (1976)
Annales scientifiques de l'Université de Clermont. Mathématiques
Alan Dow, P. Nyikos (1992)
Fundamenta Mathematicae
Partitioner algebras are defined in [2] and are natural tools for studying the properties of maximal almost disjoint families of subsets of ω. In this paper we investigate which free algebras can be represented as partitioner algebras or as subalgebras of partitioner algebras. In so doing we answer a question raised in [2] by showing that the free algebra with generators is represented. It was shown in [2] that it is consistent that the free Boolean algebra of size continuum is not a subalgebra...
William Hanf (1976)
Fundamenta Mathematicae
T.S. Blyth, M.F. Janowitz (1974)
Semigroup forum
Stevo Todorčević (1979)
Publications de l'Institut Mathématique
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