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arXiv · 1612.08358

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

Mohammad Golshani·Rahman Mohammadpour
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Abstract

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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Mohammad Golshani, Rahman Mohammadpour. 2016-12-26. The tree property at double successors of singular cardinals of uncountable cofinality. https://arxiv.org/abs/1612.08358

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