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On the Normality of Numbers to Different Bases

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 نشر من قبل Ver\\'onica Becher
 تاريخ النشر 2013
  مجال البحث
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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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