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arXiv · 1311.0333

On the Normality of Numbers to Different Bases

Verónica Becher·Theodore A. Slaman
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Abstract

We prove independence of normality to different bases We show that the set of real numbers that are normal to some base is Sigma^0_4 complete in the Borel hierarchy of subsets of real numbers. This was an open problem, initiated by Alexander Kechris, and conjectured by Ditzen 20 years ago.

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Verónica Becher, Theodore A. Slaman. 2013-11-02. On the Normality of Numbers to Different Bases. https://doi.org/10.1112/jlms%2Fjdu035

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