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arXiv 1709.06249math.LO
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关于$C^s_n(κ)$和Juhasz-Kunen问题

On $C^s_n(κ)$ and the Juhasz-Kunen question

Mohammad Golshani, Saharon Shelah

摘要:

我们推广了由不同作者引入的组合原理$C_n(κ), C^s_n(κ)$和$Princ(κ)$,并证明了它们的一些性质和它们之间的联系.我们还回答了Juhasz-Kunen提出的关于这些原则之间关系的问题,通过证明对于任何$n>2$,$C_n(κ)$并不意味着$C_{n+1}(κ)$。我们还证明了$C(κ)+\neg C^s(κ).$的一致性

英文摘要:

We generalize the combinatorial principles $C_n(κ), C^s_n(κ)$ and $Princ(κ)$ introduced by various authors, and prove some of their properties and connections between them. We also answer a question asked by Juhasz-Kunen about the relation between these principles, by showing that $C_n(κ)$ does not imply $C_{n+1}(κ)$, for any $n>2$. We also show the consistency of $C(κ)+\neg C^s(κ).$

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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