A minimal Kurepa tree with respect to club embeddings

Hossein Lamei Ramandi · Fundamenta Mathematicae · 2019

We show it is consistent with $\mathrm {GCH}$ that there is a minimal Kurepa tree with respect to club embeddings. That is, there is a Kurepa tree $T$ which club embeds in all of its Kurepa subtrees in the sense of Abraham and Shelah (1985). Moreover, the

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