Normal numbers and the Borel hierarchy

Verónica Becher,Pablo Ariel Heiber,Theodore A. Slaman

FUNDAMENTA MATHEMATICAE（2014）

引用 12|浏览21

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摘要

We show that the set of absolutely normal numbers is Pi(0)(3)-complete in the Borel hierarchy of subsets of real numbers. Similarly, the set of absolutely normal numbers is Pi(0)(3)-complete in the effective Borel hierarchy.

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关键词

normal numbers,Borel hierarchy,descriptive set theory

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