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Szekély's conjecture on large distances in planar sets of positive upper Banach density
Szekély's conjecture. The set of distances between pairs of points of $A$ contains all sufficiently large distances; equivalently, there exists $T>0$ such that every $t\geqslant T$ …
Conjectureopeneuclidean-distances geometric-measure-theory upper-banach-densityarXiv posted 2 days ago

Szekély's conjecture on large distances in planar sets of positive upper Banach density