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Strong singularity, disjointness, and strong finite additivity of finitely additive measures. (English) Zbl 0646.28002

This paper is related to many differences between finitely additive measures and countably additive measures. Some of the subjects examined are the strong singularity, the disjointness, P-sets, \(P_ 1\)-sets, the strong finite additivity and \(L^{\infty *}.\)
Locally compact Hausdorff spaces which are sham-compact or sham-sham compact, are characterized.
Reviewer: E.Barone

MSC:

28A10 Real- or complex-valued set functions
28A33 Spaces of measures, convergence of measures
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