Tree Properties at Successors of Singulars of Many Cofinalities

2025/02/03 by Adkisson, William
#03E05 #FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.2502.01762

Abstract

From many supercompact cardinals, we show that it is consistent for the tree property to hold at many small successors of singular cardinals, each with a different cofinality. In particular, we construct a model in which the tree property holds at ℵ_ω+ω+1 and at ℵ_ωn+1 for all 0

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