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A counterexample to a strong variant of the Polynomial Freiman-Ruzsa conjecture in Euclidean space

A counterexample to a strong variant of the Polynomial Freiman-Ruzsa conjecture in Euclidean space

A counterexample to a strong variant of the polynomial Freiman-Ruzsa conjecture, Discrete Analysis 2017:8, 6 pp. Given a finite set $A$ of integers, define its _sumset_ $A+A$ to be the set $\{x+y:x,y\in A\}$. A central question in additive combinatorics is the following: what can we say about a set $A$ …