论文标题
强极限之间的通用图与其力量之间
Universal graphs between a strong limit singular and its power
论文作者
论文摘要
该论文解决了强极限单数与其功率之间存在单个通用图的一致性的问题。假设在$ \ mathbf {gCH} $ $κ$的型号中，是超级稳定的，而红衣主教$θ<κ$，$λ>κ$是规则的，作为一种更通用的方法，我们获得了一种更通用的方法，我们获得了$ \ \ \ \ \\ textrm {cf}（κ）=θ$ singular singular cardinal coldinal the $ the $ sightral the $ singulter the $ sighthe $ ncorminal the $ sighthe $ singults $ $λ\ in（κ，2^κ）$。
The paper settles the problem of the consistency of the existence of a single universal graph between a strong limit singular and its power. Assuming that in a model of $\mathbf{GCH}$ $κ$ is supercompact and the cardinals $θ< κ$, $λ> κ$ are regular, as an application of a more general method we obtain a forcing extension in which $\textrm{cf}(κ) = θ$, the Singular Cardinal Hypothesis fails at $κ$ and there exists a universal graph in cardinality $λ\in (κ,2^κ)$.
