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NORMAL NUMBERS AND COMPLETENESS RESULTS FOR DIFFERENCE SETS
Published online by Cambridge University Press: 21 March 2017
Abstract
We consider some natural sets of real numbers arising in ergodic theory and show that they are, respectively, complete in the classes ${\cal D}_2 \left( {{\bf{\Pi }}_3^0 } \right)$ and ${\cal D}_\omega \left( {{\bf{\Pi }}_3^0 } \right)$, that is, the class of sets which are 2-differences (respectively, ω-differences) of ${\bf{\Pi }}_3^0 $ sets.
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- Copyright © The Association for Symbolic Logic 2017
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