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.
Kopeikina.Decompositions of projective planes
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A New Construction Principle
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.