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Countable models of stable theories

1983
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Proceedings of the American Mathematical Society
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The notion of a normal theory is introduced, and it is proved that for such a theory T, /(N", 7") = 1 or 3e S(l. Wc also include a short proof of Lachlan's theorem that for superstable 7". /(X0, 7") = 1 or > N(1. (The property of normality is stronger than stability but incomparable to superstability.) 1. Preliminaries. We consider here theories T which are countable and complete (and of course finitary, first order). A long standing question is whether for stable, not N"-categorical T, T must

doi:10.1090/s0002-9939-1983-0718994-3
fatcat:3ysh2tk7rvfh5mxan2eupri35u