2025/05/12 by Cummings, James, Hayut, Yair, Magidor, Menachem +3
#FOS: Mathematics #Logic (math.LO)
paper · doi:10.48550/arxiv.2505.08118
In this paper we prove that the tree property can hold on regular cardinals in an interval which overlaps a strong limit cardinal. This is a crucial milestone in the long term project, tracing back to a question raised by Foreman and Magidor in the 1980s, of obtaining the tree property at every regular cardinal above the first uncountable cardinal.