The Tree Property on a Countable Segment of Successors of Singular Cardinals
نویسنده
چکیده
Starting from the existence of many supercompact cardinals, we construct a model of ZFC + GCH in which the tree property holds at a countable segment of successor of singular cardinals.
منابع مشابه
The definable tree property for successors of cardinals
Strengthening a result of Amir Leshem [7], we prove that the consistency strength of holding GCH together with definable tree property for all successors of regular cardinals is precisely equal to the consistency strength of existence of proper class many Π 1 reflecting cardinals. Moreover it is proved that if κ is a supercompact cardinal and λ > κ is measurable, then there is a generic extensi...
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This chapter offers a comprehensive and lucid exposition of the questions and techniques involved in the study of combinatorics of successors of singular cardinals. What is so special about successors of singular cardinals? They are successor cardinals, but are also similar to inaccessible cardinals, in the sense that there is no maximal regular cardinal below them, meaning for instance that th...
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تاریخ انتشار 2017