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A proof of the Erdös similarity conjecture
Published 8 Jan 2020 in math.CA and math.CO | (2001.02395v2)
Abstract: We show that for any infinite set $A$ in ${\mathbb R}$, there exists a compact set $E \subseteq \mathbb{R}$ of positive Lebesgue measure that does not contain any non-trivial affine copy of $A$. This proves the Erd\"os similarity conjecture.
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