On Decomposable Measures Induced by Metrics

Abstract EN

We prove that for a given normalized compact metric space it can induce a σ-max-superdecomposable measure, by constructing a Hausdorff pseudometric on its power set.

We also prove that the restriction of this set function to the algebra of all measurable sets is a σ-max-decomposable measure.

Finally we conclude this paper with two open problems.