Stable theories, pseudoplanes and the number of countable models |
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Authors: | Anand Pillay |
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Institution: | University of Notre Dame, Notre Dame, IN 46556, USA |
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Abstract: | We prove that if T is a stable theory with only a finite number (>1) of countable models, then T contains a type-definable pseudoplane. We also show that for any stable theory T either T contains a type-definable pseudoplane or T is weakly normal (in the sense of 9]). |
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