Abstract
LetX be an abstract set andL a lattice of subsets ofX. To eachL-regular measure on the algebra generated byL, there are associated two measures on appropriate algebras of the Wallman space. In terms of these measures, we can obtain characterization forσ-smoothness,τ-smoothness, and tightness of the original measure. In particular, tight regular measures and their properties are investigated.
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Bachman, G., Szeto, M. On strongly replete lattices, support of A measure, and the wallman remainder. Period Math Hung 15, 127–155 (1984). https://doi.org/10.1007/BF01850726
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DOI: https://doi.org/10.1007/BF01850726