Easton collapses and a strongly saturated filter

Easton collapses and a strongly saturated filter
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DOI:
10.1007/s00153-020-00733-8
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发表时间:
2020-05-17
影响因子:
0.3
通讯作者:
Shioya, Masahiro
Shioya, Masahiro
中科院分区:
数学4区
文献类型:
--
作者:
Shioya, Masahiro

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我们引入了Easton折叠,并证明了Easton折叠的两阶段迭代给出了一个模型,在该模型中,正则基数的后继者携带一个强饱和过滤器。这使得人们可以得到一个模型,在该模型中,许多后续基数只需迭代Easton折叠就可以携带饱和滤光片。
We introduce the Easton collapse and show that the two-stage iteration of Easton collapses gives a model in which the successor of a regular cardinal carries a strongly saturated filter. This allows one to get a model in which many successor cardinals carry saturated filters just by iterating Easton collapses.