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- W2000276324 abstract "Theorem: For each 2 ≤ k < ω there is an $$ L_{omega _1 ,omega } $$ -sentence ϕk such that (1) ϕk is categorical in μ if μ≤ℵk−2; (2) ϕk is not ℵk−2-Galois stable (3) ϕk is not categorical in any μ with μ>ℵk−2; (4) ϕk has the disjoint amalgamation property (5) For k > 2 (a) ϕk is (ℵ0, ℵk−3)-tame; indeed, syntactic first-order types determine Galois types over models of cardinality at most ℵk−3; (b) ϕk is ℵm-Galois stable for m ≤ k − 3 (c) ϕk is not (ℵk−3, ℵk−2)." @default.
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- W2000276324 date "2009-03-01" @default.
- W2000276324 modified "2023-09-26" @default.
- W2000276324 title "Categoricity, amalgamation, and tameness" @default.
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- W2000276324 doi "https://doi.org/10.1007/s11856-009-0035-8" @default.
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