Derived models associated to mice

Derived models associated to mice
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与小鼠相关的衍生模型

DOI:
10.1142/9789812794055_0003
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发表时间:
2007
影响因子:
0.6
通讯作者:
J. Steel
J. Steel
中科院分区:
数学3区
文献类型:
--
作者:
J. Steel

文献摘要

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我们将提出一些结果的性质衍生模型的小鼠,并存在小鼠与大型衍生模型。本文的基本计划是:第1 - 5节。导论.初步定义和背景材料。与小鼠相关的衍生模型的迭代独立性。小鼠在与小鼠相关的衍生模型中设定猜想。第6 - 8节小鼠相关衍生模型中的Solovay序列。一种在小鼠中“翻译掉”与Woodin基数重叠的扩展子的方法。第9 - 14节。在小鼠AD +模型中捕获2个真理的一些部分结果。(That是,部分结果的小鼠集猜想)。
We shall present some results on the the properties of derived models of mice, and on the existence of mice with large derived models. The basic plan of the paper is: Sections 1‐5. Introduction. Preliminary definitions and background material. The iteration independence of the derived model associated to a mouse. The mouse set conjecture in derived models associated to mice. Sections 6‐8 The Solovay sequence in derived models associated to mice. A method of “translating away” extenders overlapping Woodin cardinals in mice. Sections 9‐14. Some partial results on capturing 2 truths in AD + models by mice. (That is, partial results on the mouse set conjecture.)