Weakly dense subsets of the measure algebra

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On Dense Subsets of the Measure Algebra

We show that the minimal cardinality of a dense subset of the measure algebra is the same as the minimal cardinality of a base of the ideal of Lebesgue measure zero subsets of the real line. 0. Introduction. Let (F, <) be a given partial ordering. A subset D ç P is called dense if for any p g F there exists d g D such that d < p. A subset D is called upward dense if D is dense in (F, > ). Let A...

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 1989

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-1989-0961402-3