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  1. A Generalization of Sierpiński's Paradoxical Decompositions: Coloring Semialgebraic Grids.James H. Schmerl - 2012 - Journal of Symbolic Logic 77 (4):1165-1183.
    A structure A = (A; E₀, E₁ , . . . , ${E_{n - 2}}$) is an n-grid if each E i is an equivalence relation on A and whenver X and Y are equivalence classes of, repectively, distinct E i and E j , then X ∩ Y is finite. A coloring χ : A → n is acceptable if whenver X is an equivalence class of E i , then {ϰ Є X: χ(ϰ) = i} is finite. If (...)
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