Let D be the diagram of a sufficiently homogeneous model. For types that are realized in this model, we introduce certain rank functions and prove the following assertions: (1) If, for each type, the rank is less than ∞ then the diagram is stable; (2) if the diagram D is stable then the set of non-algebraic types of rank less than ∞ is large enough.

中文翻译：

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稳定图的等级函数

令D为足够均匀的模型的图。对于在该模型中实现的类型，我们引入某些秩函数并证明以下断言：（1）如果对于每种类型，秩小于∞，则图是稳定的；（2）如果图D是稳定的，则秩小于∞的非代数类型的集合足够大。