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arXiv math/9903114math.LO
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关于绝对发散级数

On absolutely divergent series

Sakae Fuchino, Heike Mildenberger, Saharon Shelah, Peter Vojtas

摘要:

我们证明了CH模型上Mathias强迫的aleph_2-阶段可数支撑迭代中,由绝对发散级数在最终支配下生成的完备布尔代数与P(omega)/fin的完备化不同构.这补充了Vojtas的结果,即在cf(c)=p下两个代数是同构的

英文摘要:

We show that in the aleph_2-stage countable support iteration of Mathias forcing over a model of CH the complete Boolean algebra generated by absolutely divergent series under eventual dominance is not isomorphic to the completion of P(omega)/fin. This complements Vojtas' result, that under cf(c)=p the two algebras are isomorphic

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