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Erdős problem 846

Erdős Problem 846 Let A ⊂ ℝ² be an infinite set for which there exists some ϵ>0 such that in any subset of A of size n there are always at least ϵn with no three on a line. Is it true that A is the union of a finite number of sets where no three are on a line?
Retained from Formal Conjectures · not edited here
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disproved (Lean)
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Accepted in Vela Mathematics Program

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