A posteriori convergence in complete Boolean algebras with the sequential topology
نویسندگان
چکیده
منابع مشابه
Complete Ccc Boolean Algebras, the Order Sequential Topology, and a Problem of Von Neumann
Let B be a complete ccc Boolean algebra and let τs be the topology on B induced by the algebraic convergence of sequences in B. 1. Either there exists a Maharam submeasure on B or every nonempty open set in (B, τs) is topologically dense. 2. It is consistent that every weakly distributive complete ccc Boolean algebra carries a strictly positive Maharam submeasure. 3. The topological space (B, τ...
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ژورنال
عنوان ژورنال: Annals of Pure and Applied Logic
سال: 2007
ISSN: 0168-0072
DOI: 10.1016/j.apal.2007.05.002