An L-like model containing very large cardinals

被引：0
|
作者：
Arthur W. Apter
James Cummings
机构：
[1] Baruch College of CUNY,Department of Mathematics
[2] The CUNY Graduate Center,Department of Mathematical Sciences
[3] Mathematics,undefined
[4] Carnegie Mellon University,undefined
来源：
Archive for Mathematical Logic | 2008年 / 47卷
关键词：
Supercompact cardinal; Strongly compact cardinal; Diamond; Diamond primed; Diamond star; Diamond plus; Square; Level by level equivalence between strong compactness and supercompactness; 03E35; 03E55;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We force and construct a model in which level by level equivalence between strong compactness and supercompactness holds, along with a strong form of diamond and a version of square consistent with supercompactness. This generalises a result due to the first author. There are no restrictions in our model on the structure of the class of supercompact cardinals.
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