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edit approved May 3, 2017 at 13:24

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Gap two SierpisnkiSierpinski set?

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edited May 3, 2017 at 12:42

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real-analysis measure-theory lo.logic set-theory measure-theory

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occurred May 3, 2017 at 11:02

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asked Apr 27, 2017 at 20:01

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Gap two Sierpisnki set?

Is it consistent to have a set of reals $X$ of size $\aleph_3$ such that for every $Y \subseteq X$, $Y$ has measure zero iff $|Y| \leq \aleph_1$?

real-analysis measure-theory set-theory