Aronszajn trees and the successors of a singular cardinal
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- Unger, S. Arch. Math. Logic (2013) 52: 483. doi:10.1007/s00153-013-0326-y
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From large cardinals we obtain the consistency of the existence of a singular cardinal κ of cofinality ω at which the Singular Cardinals Hypothesis fails, there is a bad scale at κ and κ++ has the tree property. In particular this model has no special κ+-trees.