论文标题
至少$λ$ - 紧凑型红衣主教
On the cofinality of the least $λ$-strongly compact cardinal
论文作者
论文摘要
在本文中，我们表征了最少$λ$ - stronglongly紧凑型红衣主教的可能的共同性。我们表明，一方面，对于任何带有$λ$ complete统一的超滤波器的常规红衣主教，$δ$，相对于$δ$上方的超级紧密的红衣主教的存在，这是一致的，最少$λ$ stronglongly cartact cardinal具有cofinality $δ$。另一方面，证明至少$λ$ - 紧凑型红衣主教总是带有$λ$ - complete统一的超级滤器。
In this paper, we characterize the possible cofinalities of the least $λ$-strongly compact cardinal. We show that, on the one hand, for any regular cardinal, $δ$, that carries a $λ$-complete uniform ultrafilter, it is consistent, relative to the existence of a supercompact cardinal above $δ$, that the least $λ$-strongly compact cardinal has cofinality $δ$. On the other hand, provably the cofinality of the least $λ$-strongly compact cardinal always carries a $λ$-complete uniform ultrafilter.
