The sequential topology on complete Boolean algebras
Główczyński, Wiesław ; Balcar, Bohuslav ; Jech, Thomas
Fundamenta Mathematicae, Tome 158 (1998), p. 59-78 / Harvested from The Polish Digital Mathematics Library
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We investigate the sequential topology τs on a complete Boolean algebra B determined by algebraically convergent sequences in B. We show the role of weak distributivity of B in separation axioms for the sequential topology. The main result is that a necessary and sufficient condition for B to carry a strictly positive Maharam submeasure is that B is ccc and that the space (B,τs) is Hausdorff. We also characterize sequential cardinals.

Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:212243 
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     year = {1998},
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     zbl = {0910.28004},
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Główczyński, Wiesław; Balcar, Bohuslav; Jech, Thomas. The sequential topology on complete Boolean algebras. Fundamenta Mathematicae, Tome 158 (1998) pp. 59-78. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv155i1p59bwm/

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