A nonseparable extension of the Lebesgue measure without new nullsets (Q930125)
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scientific article; zbMATH DE number 5291269
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A nonseparable extension of the Lebesgue measure without new nullsets |
scientific article; zbMATH DE number 5291269 |
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A nonseparable extension of the Lebesgue measure without new nullsets (English)
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20 June 2008
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Several methods of extending a given complete measure are discussed. The existence of a nonseparable extension of the Lebesgue measure which preserves null sets is proved under the Continuum Hypothesis. The method combines a method of Kakutani and Kodaira, and Luzin's method of constructing a Luzin set. The possibility of the proof under Martin's Axiom, or even under some weaker assumption, was communicated to the author by a referee. This information appears without further reference.
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continuum hypothesis
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measure extension problem
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Lebesgue measure
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null sets
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nonseparable measures
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