Prikry关于扩展器,再访
Prikry On Extenders, Revisited
摘要:
我们对Prikry关于扩展器的力迫概念提出了一个修改,允许炸毁一个大基数的幂集,在不添加有界子集的情况下将其共尾性改变为omega,直接从任意扩展器工作(例如,n-巨大的扩展器)。使用这种强迫,从一个超强的基数,我们构建了一个模型,其中添加的Prikry序列是一个规模的正常Prikry序列。
英文摘要:
We present a modification to the Prikry on Extenders forcing notion allowing the blow up of the power set of a large cardinal, change its cofinality to omega without adding bounded subsets, working directly from arbitrary extender (e.g., n-huge extender). Using this forcing, starting from a superstrong cardinal, we construct a model in which the added Prikry sequences are a scale in the normal Prikry sequence.
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