A model and its subset: the uncountable case

Annals of Pure and Applied Logic 71 (2):107-129 (1995)
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Abstract

Assume Q is a definable subset of a model of T. We define a notion of Q-isolated type, generalizing an earlier definition for countable Q. This notion is absolute. For superstable T, we give some sufficient conditions for the existence of Q-atomic models. We apply this to prove some results on weak categoricity over a predicate

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References found in this work

Finite quantifier equivalence.Carol Karp - 1965 - Journal of Symbolic Logic 36 (1):407--412.
Forking, normalization and canonical bases.Anand Pillay - 1986 - Annals of Pure and Applied Logic 32:61-81.
A model and its subset.Ludomir Newelski - 1992 - Journal of Symbolic Logic 57 (2):644-658.
Proper Forcing.Saharon Shelah - 1985 - Journal of Symbolic Logic 50 (1):237-239.

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