论文标题

精确饱和度和奇异紧凑性的标准

Criteria for exact saturation and singular compactness

论文作者

Kaplan, Itay, Ramsey, Nicholas, Shelah, Saharon

论文摘要

我们介绍了不可修理论的类别,该理论包含简单和刺激的理论,并证明了这些理论在单一的红衣主教中具有完全饱和的模型,从而满足了某些设定的理论假设。我们还为具有奇异紧凑性的理论提供了标准。

We introduce the class of unshreddable theories, which contains the simple and NIP theories, and prove that such theories have exactly saturated models in singular cardinals, satisfying certain set-theoretic hypotheses. We also give criteria for a theory to have singular compactness.

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