Abstract
We abstract Frink's notion of a normal base of a topological space to an arbitrary lattice, and replace the notion of filters on a base by zero-one measures on a lattice. This offers analytical simplification and clarijication, and extends to arbitrary measures as well. By putting a topology on the set of measures, we generalize the notion of Wallman-type compactifications, and we look at relations between the compactifications by examining the underlying lattices.
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