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Is Hamel basis measurable? - MaRDI portal

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Is Hamel basis measurable? (Q1465573)

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scientific article; zbMATH DE number 2606291
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English
Is Hamel basis measurable?
scientific article; zbMATH DE number 2606291

    Statements

    Is Hamel basis measurable? (English)
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    1920
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    Über die Definition einer Hamelschen Basis vgl. man dessen Arbeit in den Math. Ann. 60, 459 ff., 1905. Verf. beweist: 1. Das (Lebesguesche) innere Maß\ einer Hamelschen Basis ist stets Null. Eine solche ist also entweder meßbar und vom Maße Null, oder aber sie ist nicht meßbar. 2. Jeder dieser beiden Fälle kann eintreten.
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