Morley Rank in Homogeneous Models
نویسندگان
چکیده
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.
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عنوان ژورنال:
- Notre Dame Journal of Formal Logic
دوره 47 شماره
صفحات -
تاریخ انتشار 2006