On two theorems of Sierpiński

Edward Grzegorek; Iwo Labuda

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arXiv · 1709.09607

On two theorems of Sierpiński

Edward Grzegorek·Iwo Labuda

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Abstract

A theorem of Sierpiński says that every infinite set Q of reals contains an infinite number of disjoint subsets whose outer Lebesgue measure is the same as that of Q. He also has a similar theorem involving the Baire property. We give a general theorem of this type and its corollaries, strengthening classical results.

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BibTeX RIS

Edward Grzegorek, Iwo Labuda. 2018-04-08. On two theorems of Sierpiński. https://arxiv.org/abs/1709.09607

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