Let κ be a cardinal of cofinality ${\omega }_1$ witnessed by a club of cardinals $〈{\kappa }_{\alpha }|\alpha <{\omega }_1〉$. We study Silver's type effects of collapsing of ${\kappa }_{\alpha }^{+}$'s on ${\kappa }^{+}$. A model in which ${\kappa }_{\alpha }^{+}$'s (and also ${\kappa }^{+}$) are collapsed on a stationary co-stationary set is constructed.

中文翻译：

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塌陷的银型定理

令κ为协整性的基数${\omega }_{\mathrm{1个}}$ 由红衣主教俱乐部见证 $〈{\kappa }_{\alpha }|\alpha <{\omega }_{\mathrm{1个}}〉$。我们研究了Silver塌陷的类型效应${\kappa }_{\alpha }^{+}$'儿子 ${\kappa }^{+}$。其中的模型${\kappa }_{\alpha }^{+}$的（以及 ${\kappa }^{+}$）折叠在固定的平稳集合上构造。