arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2003.00597math.LO
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精确饱和和奇异compactness的判据

Criteria for exact saturation and singular compactness

Itay Kaplan, Nicholas Ramsey, Saharon Shelah

摘要:

我们介绍了一类不可分割的理论,其中包括简单的和NIP理论,并证明了这样的理论在奇异基数,满足一定的集合论假设完全饱和模型。我们还给出了一个理论具有奇异紧性的准则。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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