 Sierpiński set (source code)

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= Sierpiński set
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An uncountable <subset> $S$ of the <real numbers> whose intersection with every <null set> for <Lebesgue measure> is countable. Testing only <Borel sets> suffices because every Lebesgue-null <set> has a Borel null superset. No measurability of $S$ is assumed.

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