Stable theory
In the mathematical field of model theory, a complete theory is called stable if it does not have too many types. One goal of classification theory is to divide all complete theories into those whose models can be classified and those whose models are too complicated to classify, and to classify all models in the cases where this can be done. Roughly speaking, if a theory is not stable then its models are too complicated and numerous to classify, while if a theory is stable there might be some hope of classifying its models, especially if the theory is superstable or totally transcendental.
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Stable theory
In the mathematical field of model theory, a complete theory is called stable if it does not have too many types. One goal of classification theory is to divide all complete theories into those whose models can be classified and those whose models are too complicated to classify, and to classify all models in the cases where this can be done. Roughly speaking, if a theory is not stable then its models are too complicated and numerous to classify, while if a theory is stable there might be some hope of classifying its models, especially if the theory is superstable or totally transcendental.
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In the mathematical field of m ...... read, as mentioned, e.g., in
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E.A.
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J. T.
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M.A.
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S/s087100
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s/s087080
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Baldwin
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Palyutin
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Taitslin
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Stability theory
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Stable and unstable theories
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In the mathematical field of m ...... ble or totally transcendental.
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Stable theory
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