Parametrized $\diamondsuit$ principles

Parametrized $\diamondsuit$ principles
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参数化$diamondsuit$原则

DOI:
10.1090/s0002-9947-03-03446-9
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发表时间:
2006
期刊:
arXiv: Logic
影响因子:
--
通讯作者:
Mirna Dvzamonja
Mirna Dvzamonja
中科院分区:
--
文献类型:
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作者:
J. Moore;Michael Hruvs'ak;Mirna Dvzamonja

文献摘要

被引文献

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我们将提出一组与$\diamond$有类似关系的猜测原理,因为连续统的基本不变量与$\CH$有类似关系。目的是提供一种系统地分析$\diamond$及其后果的方法。它还提供了一种统一的方法来理解在Laver、Miller和Sacks等模型中$\CH$和$\diamond$的一些结果的状态。
We will present a collection of guessing principles which have a similar relationship to $\diamond$ as cardinal invariants of the continuum have to $\CH$. The purpose is to provide a means for systematically analyzing $\diamond$ and its consequences. It also provides for a unified approach for understanding the status of a number of consequences of $\CH$ and $\diamond$ in models such as those of Laver, Miller, and Sacks.