论文标题
sigma-prikry迫使iii:降至aleph_omega
Sigma-Prikry forcing III: Down to Aleph_omega
论文作者
论文摘要
我们证明了$ \aleph_Ω$的奇异主要基数假设的失败以及所有固定子集的$ \ aleph_ {ω+1} $的一致性。这表明Magidor的两个经典结果(从1977年和1982年开始)可以同时保持。
We prove the consistency of the failure of the singular cardinals hypothesis at $\aleph_ω$ together with the reflection of all stationary subsets of $\aleph_{ω+1}$. This shows that two classic results of Magidor (from 1977 and 1982) can hold simultaneously.