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Weak covering and the tree property

Ralf Schindler
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Abstract

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 δhas the tree property then δ^{+K} = δ^+ and δis weakly compact in K.

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Ralf Schindler. 1997-06-11. Weak covering and the tree property. https://arxiv.org/abs/math/9706205

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