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Independence results for uncountable superstable theories
Authors:Ludomir Newelski
Institution:(1) Mathematical Institute of the Polish Academy of Sciences, Kopernika 18, 51-617 Wroclaw, Poland
Abstract:We prove that the following statement is independent of ZFC+┐CH: IFT is a superstable theory of power <2 0,MN are models ofT withQ(M)=Q(N), then there isN′≱N withQ(N)=Q(N′). This generalizes Lachlan’s (1972) result.
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