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2. Some complete $\Sigma\sp 1\sb 2$ sets in harmonic analysis

Author

Becker, Howard, Kahane, Sylvain, and Louveau, Alain

Abstract

We prove that several specific pointsets are complete $ \Sigma _2^1$-sets, which is a hereditary class of thin sets that occurs in harmonic analysis, is a pointset in the space of compact subsets of the unit circle; we prove that this pointset is complete $ \Sigma _2^1$ $ {\text{ZFC}}$-set, a trigonometric series witnessing that it is an "$-set.

Published
1993

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