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- W2019294857 abstract "We define an appropriate analog of the Morley rank in a totally transcendental homogeneous model with type diagram D. We show that if RM [p] = α, then for some 1 ≤ n < ω the type p has n, but not n+ 1, distinct D-extensions of rank α. This is surprising, because the proof of the statement in the first-order case depends heavily on compactness. We also show that types over (D,א0)-homogeneous models have multiplicity (Morley degree) 1." @default.
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- W2019294857 date "2006-07-01" @default.
- W2019294857 modified "2023-09-25" @default.
- W2019294857 title "Morley Rank in Homogeneous Models" @default.
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- W2019294857 doi "https://doi.org/10.1305/ndjfl/1163775439" @default.
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