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A $1$-avoiding set is a subset of $\mathbb{R}^n$ that does not contain pairs of points at distance $1$.
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D.G. Larman and C.A. Rogers: The realization of distances within sets in Euclidean space, Mathematika
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K.J. Falconer: The realization of distances in measurable subsets covering ℝ n \mathbb{R}^{n} , Journal of Combinatorial Theory, Series A
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F.M. de Oliveira Filho and F. Vallentin: Fourier analysis, linear programming, and densities of distance-avoiding sets in ℝ n \mathbb{R}^{n} , Journal of the European Mathematical Society
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F. Maggi, M. Ponsiglione, and A. Pratelli: Quantitative stability in the isodiametric inequality via the isoperimetric inequality, Transactions of the American Mathematical Society
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C. Bachoc, A. Passuello, and A. Thiery: The density of sets avoiding distance 1 in Euclidean space, Discrete & \& Computational Geometry
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2002
Cited alongside, same era.