On Decomposable Measures Induced by Metrics

Dong Qiu, Weiquan Zhang
2012 Journal of Applied Mathematics  
We prove that for a given normalized compact metric space it can induce aσ-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 aσ-max-decomposable measure. Finally we conclude this paper with two open problems.
doi:10.1155/2012/701206 fatcat:e7yfhz5u2fbgzcwro7svz2u5na