Number of strongly \(\aleph _{\epsilon}\)-saturated models - an addition (Q1111546)
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scientific article; zbMATH DE number 4075031
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Number of strongly \(\aleph _{\epsilon}\)-saturated models - an addition |
scientific article; zbMATH DE number 4075031 |
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Number of strongly \(\aleph _{\epsilon}\)-saturated models - an addition (English)
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1988
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Improving his earlier result [Ann. Pure Appl. Logic 36, 279-287 (1987; Zbl 0643.03023)] the author proves that any unsuperstable theory T has \(2^{\lambda}\) pairwise non-isomorphic strongly \(\aleph_{\epsilon}\)- saturated models of power \(\lambda\), for every \(\lambda \geq \lambda (T)+\aleph_ 1\). Here \(\lambda\) (T) is the number of non-equivalent strong types over \(\emptyset\).
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superstable theory
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strongly \(\aleph _{\epsilon }\)-saturated models
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