Coding with ladders a well ordering of the reals

Coding with ladders a well ordering of the reals
复制标题

使用梯子编码对实数进行良好排序

DOI:
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发表时间:
2001
期刊:
Journal of Symbolic Logic (JSL)
影响因子:
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通讯作者:
S. Shelah
S. Shelah
中科院分区:
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文献类型:
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作者:
U. Abraham;S. Shelah

文献摘要

被引文献

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任何ZFC+GCH模型都有一个一般的推广(用一个大小为ℵ2的偏序集构成),其中:存在实数的良序,证明在于迭代ω1上的梯形系统的猜想性质的偏序集。因此,对这类梯形的研究是本文主要关注的问题。
Abstract Any model of ZFC + GCH has a generic extension (made with a poset of size ℵ2) in which the following hold: there exists a-well ordering of the reals, The proof consists in iterating posets designed to change at will the guessing properties of ladder systems on ω1. Therefore, the study of such ladders is a main concern of this article.