Under hypotheses d=ℵ_n plus weak diamonds, the nth derived limit of a natural inverse system of abelian groups is nonzero, and the second derived limit is nonzero in the Miller and Mitchell models.
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Nonvanishing Higher Derived Limits without $w\diamondsuit_{\omega_1}$
Under hypotheses d=ℵ_n plus weak diamonds, the nth derived limit of a natural inverse system of abelian groups is nonzero, and the second derived limit is nonzero in the Miller and Mitchell models.