On homogeneous models of some weakly minimal theories (Q1595480)
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scientific article; zbMATH DE number 1563989
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On homogeneous models of some weakly minimal theories |
scientific article; zbMATH DE number 1563989 |
Statements
On homogeneous models of some weakly minimal theories (English)
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12 February 2001
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Weakly minimal theories are considered. For a unidimensional weakly minimal theory \(T\), it is proven that every \(\omega\)-homogeneous \(T\)-model of power greater than \(\lambda(T)\) is homogeneous. Every resplendent model of a weakly minimal theory in a countable recursively presented language is proven to be homogeneous. The spectrum functions for homogeneous and resplendent models of countable weakly minimal theories are calculated.
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weakly minimal theory
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unidimensional theory
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homogeneous model
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resplendent model
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0.8946825
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0.8931172
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0.89148736
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0.88773406
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0.88373095
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0.8819101
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0.8803266
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