The Covering Lemma

The Covering Lemma
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覆盖引理

DOI:
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发表时间:
2010
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影响因子:
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通讯作者:
W. Mitchell
W. Mitchell
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文献类型:
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作者:
W. Mitchell

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1974 年,罗纳德·詹森 (Ronald Jensen) 的一组手写笔记改变了我们对内部模型的理解,其标题朴素“关于银定理的旁注”。在覆盖引理之前,哥德尔的可构造集合 L 类是一个集合论模型,人们对它知之甚多,但与宇宙联系甚少;有了覆盖引理,在没有大基数的情况下,它是宇宙的支撑骨架。
Our understanding of inner models was transformed in 1974 by as set of handwritten notes of Ronald Jensen with the modest title “Marginalia on a Theorem of Silver”. Before the covering lemma, Godel’s class L of constructible sets was a model of set theory of which much was know, but which had little connection with the universe; with the covering lemma it is, in the absence of large cardinals, the supporting skeleton of the universe.