Bachman, George; Stratigos, P. D. On measure repleteness and support for lattice regular measures. (English) Zbl 0629.28005 Int. J. Math. Math. Sci. 10, 707-724 (1987). 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 Cited in 2 Documents MSC: 28A60 Measures on Boolean rings, measure algebras 54H10 Topological representations of algebraic systems Keywords:lattice regular measures; general Wallman space; support of a measure; Borel measure compactness; clopen measure repleteness; strong measure repleteness PDFBibTeX XMLCite \textit{G. Bachman} and \textit{P. D. Stratigos}, Int. J. Math. Math. Sci. 10, 707--724 (1987; Zbl 0629.28005) Full Text: DOI EuDML