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- W2103304004 abstract "Abstract Assume T is stable, small and Φ( x ) is a formula of L ( T ). We study the impact on T ⌈Φ of naming finitely many elements of a model of T . We consider the cases of T ⌈Φ which is ω -stable or superstable of finite rank. In these cases we prove that if T has countable models and Q = Φ( M ) is countable and atomic or saturated, then any good type in S ( Q ) is τ -stable. If T ⌈Φ is ω -stable and (bounded, 1-based or of finite rank) with , then we prove that every good p ∈ S ( Q ) is τ -stable for any countable Q . The proofs of these results lead to several new properties of small stable theories, particularly of types of finite weight in such theories." @default.
- W2103304004 created "2016-06-24" @default.
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- W2103304004 date "1996-03-01" @default.
- W2103304004 modified "2023-09-28" @default.
- W2103304004 title "On atomic or saturated sets " @default.
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- W2103304004 doi "https://doi.org/10.2307/2275614" @default.
- W2103304004 hasPublicationYear "1996" @default.
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