超级黑盒（原名：中间钻石）
Super black box (formerly: Middle diamond)
AI总结：
该研究在特定基数算术假设下，证明了足够大的正则基数下多类平稳子集具有super BB性质，是一致化的强否定，修正了旧作并统一了术语。
摘要：
本文是一项旧有工作的略作修正版本。在特定基数算术假设下，我们证明：对于每个足够大的正则基数$\lambda$，存在许多小于$\lambda$的正则基数$\kappa$，使得许多共尾度为$\kappa$的$\lambda$的平稳子集都具有super BB（超级黑盒）性质。特别地，集合$\{\delta< \lambda\colon cf(\delta) = \kappa\}$上存在super BB。这是一致化性质的一个强否定结论。我们补充了部分细节。后续工作包括[Sh:898]和[Sh:1028]。感谢Ari Brodski与Adi Jarden的有益评论。本文早期曾使用“中间钻石”的概念，现替换为“super BB”即“super black box（超级黑盒）”，以与其他文献（见[Sh:898]）保持一致。
英文摘要：
This is a slightly corrected version of an old work. Under certain cardinal arithmetic assumptions, we prove that for every large enough regular $λ$ cardinal, for many regular $κ< λ$, many stationary subsets of $λ$ concentrating on cofinality $κ$ have super BB. In particular, we have the super BB on $\{δ< λ\colon cf(δ) = κ\}$. This is a strong negation of uniformization. We have added some details. Works continuing it are [Sh:898] and [Sh:1028]. We thank Ari Brodski and Adi Jarden for their helpful comments. In this paper we had earlier used the notion ``middle diamond" which is now replaced by ``super BB'', that is, ``super black box'', in order to be consistent with other papers (see [Sh:898]).
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。
