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arxiv: 1612.08358 · v2 · pith:WEKUPXOLnew · submitted 2016-12-26 · 🧮 math.LO

The tree property at double successors of singular cardinals of uncountable cofinality

classification 🧮 math.LO
keywords cardinalkappacofinalitypropertysingularstrongtreeabove
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Assuming the existence of a strong cardinal $\kappa$ and a measurable cardinal above it, we force a generic extension in which $\kappa$ is a singular strong limit cardinal of any prescribed cofinality, and such that the tree property holds at $\kappa^{++}$.

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