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On measure repleteness and support for lattice regular measures. (English) Zbl 0629.28005

Let X be a set, L a lattice of subset of X. Necessary and sufficient conditions are given for L to be a) Lindelöf, b) replete, c) measure replete, d) strongly measure replete. In the second part the authors characterize various repleteness properties in terms of support of certain measures.
Reviewer: R.Potocký

MSC:

28A60 Measures on Boolean rings, measure algebras
54H10 Topological representations of algebraic systems
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