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arxiv: math/9706205 · v1 · pith:V2YN6USNnew · submitted 1997-06-11 · 🧮 math.LO

Weak covering and the tree property

classification 🧮 math.LO
keywords deltamodelpropertytheretreecardinalcompactcore
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Suppose that there's no transitive model of ZFC + there's a strong cardinal, and let K denote the core model. It is shown that if \delta has the tree property then \delta^{+K} = \delta^+ and \delta is weakly compact in K.

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