Let T be a complete geometric theory and let \(T_P\) be the theory of dense pairs of models of T. We show that if T is superrosy with -rank 1 then \(T_P\) is superrosy with -rank at most \(\omega \).

中文翻译：

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超级玫瑰色和密集的几何结构对

令T为完备几何理论，令\(T_P\)为T的密集模型对理论。我们证明，如果T是超级玫瑰色，-rank 1，那么\(T_P\)是超级玫瑰色，-rank 最多为\(\omega \)。