Singular cofinality conjecture and a question of Gorelic
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alphagoreliccardinalsomegaquestionaffirmativeanswercite
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We give an affirmative answer to a question of Gorelic \cite{Gorelic}, by showing it is consistent, relative to the existence of large cardinals, that there is a proper class of cardinals $\alpha$ with $cf(\alpha)=\omega_1$ and $\alpha^\omega > \alpha.$
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