On decomposable measures induced by metrics (Q1760811)
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scientific article; zbMATH DE number 6106291
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On decomposable measures induced by metrics |
scientific article; zbMATH DE number 6106291 |
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On decomposable measures induced by metrics (English)
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15 November 2012
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Summary: We prove that for a given normalized compact metric space it can induce a \(\sigma\)-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 \(\sigma\)-max-decomposable measure. Finally we conclude this paper with two open problems.
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\(\sigma\)-max-superdecomposable measure
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Hausdorff pseudometric
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algebra of all measurable sets
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