On a question of H. Kraljević (Q584438)
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scientific article; zbMATH DE number 4134371
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a question of H. Kraljević |
scientific article; zbMATH DE number 4134371 |
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On a question of H. Kraljević (English)
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1990
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Under a set theoretic hypothesis strictly weaker than Martin's Axiom, the authors show that there exists a measurable set \(A\subset {\mathbb{R}}\) such that the set \(\{c\in {\mathbb{R}}:A+cA\) contains an interval\(\}\) is nonmeasurable (where \(A+cA=\{x+cy:x,y\in A\})\). They also prove some more statements involving sets of the form \(A+cA\).
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Steinhaus' theorem
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Bernstein set
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Lusin set
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measurable set
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