Aronszajn trees and the successors of a singular cardinal

Aronszajn trees and the successors of a singular cardinal
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Aronszajn 树和单一红衣主教的继任者

DOI:
10.1007/s00153-013-0326-y
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发表时间:
2013
影响因子:
0.3
通讯作者:
Spencer Unger
Spencer Unger
中科院分区:
数学4区
文献类型:
--
作者:
Spencer Unger

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从大基数出发,我们得到了存在一个共尾性为ω的奇异基数κ的一致性,在此条件下,奇异基数假设不成立,在κ处有一个坏标度,且κ++具有树性质.特别地,这个模型没有特殊的κ+树。
From large cardinals we obtain the consistency of the existence of a singular cardinal κ of cofinality ω at which the Singular Cardinals Hypothesis fails, there is a bad scale at κ and κ++ has the tree property. In particular this model has no special κ+-trees.