论文标题
通过强迫链条条件强迫一般的超级紧张枢机主教
Generically supercompact cardinals by forcing with chain conditions
论文作者
论文摘要
CCC生成的超级紧缩$κ$可以小于或等于连续体。另一方面，这样的红衣主教$κ$仍然满足各种宽敞的特性，例如，它是CCC生成可测量的红衣主教的固定限制（定理4.1）。这与$ \ cal p $ - $ \ cal p $的$ \ cal p $ cal p $的所有$σ$ clucked posets的call p $形成鲜明对比，对于任何n> 1，这可以是$ \ aleph_n $。
A ccc-generically supercompact cardinal $κ$ can be smaller than or equal to the continuum. On the other hand, such a cardinal $κ$ still satisfies diverse largeness properties, like that it is a stationary limit of ccc-generically measurable cardinals (Theorem 4.1). This is in a strong contrast to $\cal P$-generically supercompact cardinals for the class $\cal P$ of all $σ$-closed posets, which can be $\aleph_n$ for any n>1.
