The Ubiquity of Sidon Sets That Are Not I₀
classification
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math.FA
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everygroupsetssidonabelianadmitscontainsdiscrete
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We prove that every infinite, discrete abelian group admits a pair of $I_0$ sets whose union is not $I_0$. In particular, this implies that every such group contains a Sidon set that is not $I_{0}$.
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