SOME APPLICATIONS OF SUPERCOMPACT EXTENDER BASED FORCINGS TO HOD

SOME APPLICATIONS OF SUPERCOMPACT EXTENDER BASED FORCINGS TO HOD
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基于超紧凑扩展器的强迫在 HOD 中的一些应用

DOI:
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发表时间:
2016
期刊:
Journal of Symbolic Logic (JSL)
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通讯作者:
Carmi Merimovich
Carmi Merimovich
中科院分区:
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文献类型:
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作者:
M. Gitik;Carmi Merimovich

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摘要 基于超紧扩展器的强迫被用来构造与V不同的HOD基数结构模型。特别地,构造了所有正则不可数基数在HOD中可测的模型。
Abstract Supercompact extender based forcings are used to construct models with HOD cardinal structure different from those of V. In particular, a model where all regular uncountable cardinals are measurable in HOD is constructed.