Mohammad Golshani, Rahman Mohammadpour
Published 2016-12-26Version 1
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 $\kappa^{++}$.
The tree property at double successors of singular cardinals of uncountable cofinality with infinite gaps
Tree property at a countable segment of successor of singular cardinals
The Halpern--Läuchli Theorem at singular cardinals and failures of weak versions
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