We examine some fundamental properties of ideal exhaustiveness, in the context of l-groups with respect to (D)-convergence. We give some necessary and/or sufficient conditions, in order that the limit measure is continuous (with respect to a common regulator), and we investigated some particular properties of the ideals of the set of all natural numbers.
Ideal exhaustiveness, continuity and alpha-convergence for latticegroup-valued functions
BOCCUTO, Antonio;
2011
Abstract
We examine some fundamental properties of ideal exhaustiveness, in the context of l-groups with respect to (D)-convergence. We give some necessary and/or sufficient conditions, in order that the limit measure is continuous (with respect to a common regulator), and we investigated some particular properties of the ideals of the set of all natural numbers.File in questo prodotto:
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