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When Pκ(λ) (vaguely) resembles κ
Annals of Pure and Applied Logic ( IF 0.8 ) Pub Date : 2020-08-14 , DOI: 10.1016/j.apal.2020.102874
Pierre Matet

Let μ<κ<λ be three infinite cardinals, the first two being regular. Assuming the existence of a cofinal subset of (Pκ(λ),) of size λ, we define an ideal on Pκ(λ) which we argue to be the analog for Pκ(λ) of NSκ|Eμκ (the restriction of the nonstationary ideal on κ to the set of limit ordinals less than κ of cofinality μ). We show that this ideal on Pκ(λ) is the ideal dual to the well-known μ-club filter, thus answering a question raised by Krueger and Foreman.



中文翻译:

P κλ)(依稀)酷似κ

μ<κ<λ是三个无限的基数,前两个是有规律的。假设存在一个Pκλ大小为λ,我们在Pκλ 我们认为这是类似的 Pκλñ小号κ|Ëμκ(将非平稳理想在κ上的限制限制为小于共同定律μ的κ的极限序号集合)。我们证明了这一理想Pκλ是众所周知的μ - club滤波器的理想对偶,因此回答了Krueger和Foreman提出的问题。

更新日期:2020-08-14
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