On strongly replete lattices, support of a measure, and the Wallman remainder
type: Item
instance of: scholarly article
title: On strongly replete lattices, support of a measure, and the Wallman remainder
zbMATH Open document ID: 0534.28002
DOI: 10.1007/BF01850726
author: M. Szeto
author: George Bachman
published in: Periodica Mathematica Hungarica
publication date: 1984-01-01T00:00:00Z
review text: Let \(X\) be an abstract set and \(\mathcal L\) a lattice of subsets of \(X\). To each \(\mathcal L\)-regular measure on the algebra generated by \(\mathcal L\), there are associated two measures on appropriate algebras of the Wallman space. In terms of these measures, we can obtain characterization for \(\sigma\)-smoothness, \(\tau\)-smoothness, and tightness of the original measure. In particular, tight regular measures and their properties are investigated.
Mathematics Subject Classification ID: 28A60
Mathematics Subject Classification ID: 28C15
Mathematics Subject Classification ID: 54D35
Mathematics Subject Classification ID: 28A12
Mathematics Subject Classification ID: 54D60
zbMATH DE Number: 3847695
zbMATH Keywords: Wallman remainder
zbMATH Keywords: Wallman space
zbMATH Keywords: \(\tau\)-smoothness
zbMATH Keywords: tightness
zbMATH Keywords: tight regular measures
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3847695