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Dense ideals and cardinal arithmetic

Published 4 Jan 2019 in math.LO | (1901.01160v2)

Abstract: From large cardinals we show the consistency of normal, fine, $\kappa$-complete $\lambda$-dense ideals on $\mathcal{P}_\kappa(\lambda)$ for successor $\kappa$. We explore the interplay between dense ideals, cardinal arithmetic, and squares, answering some open questions of Foreman.

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