On the Normality of Numbers to Different Bases
classification
🧮 math.NT
keywords
numbersbasesdifferentnormalityrealalexanderbaseborel
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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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