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math.LO 1

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A New Construction Principle

math.LO · 2025-05-15 · unverdicted · novelty 7.0

Introduces CP(K, *) in AECs to derive non-axiomatizability of uncountably categorical classes in L_{∞,ω1} (ZFC) and L_{∞,∞} (V=L) for free products of cyclic groups, torsion-free abelian groups, Steiner systems, and n-gons.

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  • A New Construction Principle math.LO · 2025-05-15 · unverdicted · none · ref 14

    Introduces CP(K, *) in AECs to derive non-axiomatizability of uncountably categorical classes in L_{∞,ω1} (ZFC) and L_{∞,∞} (V=L) for free products of cyclic groups, torsion-free abelian groups, Steiner systems, and n-gons.