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A Necessary Condition of the Cardinal

A Necessary Condition of the Cardinal
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摘要 In this paper the auther begins with some known results about η_λ(=the least cardinal K such that K→(λ)~<∞), proving this theorem: If λ is not Ramsey cardinal and η_λ exists, then for every a<η_λ there is a weakly compact cardinal γ, such that λ<γ_α<η_λandγ_α<γ_βwhenever a<β<η_λ, therefore η_λ is the limit of the sequence(γ_α:a<η_λ), i.e. η_λ=limγ_α. The theorem is mainly based on the theory of models with indiscernibles.
作者 闫林
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 1993年第2期108-110,共3页 数学季刊(英文版)
关键词 indiscernibles Ramsey cardinal cardina η_λ 必要条件 基数 Ransey基数 集合 选择公理 ZFC系统 不可辨元 Skolem壳
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