The tree property at double successors of singular cardinals of uncountable cofinality with infinite gaps

2018/08/20 by Golshani, Mohammad, Poveda, Alejandro
#FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.1808.06390

Abstract

Assuming the existence of a strong cardinal κ, a weakly compact cardinal λ above it and γ> λ, we force a generic extension in which κ is a singular strong limit cardinal of any given cofinality δ, 2^κ≥ γ and such that the tree property holds at κ⁺⁺.

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