Dense ideals and cardinal arithmetic

Monroe Eskew

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arXiv · 1901.01160

Dense ideals and cardinal arithmetic

Monroe Eskew

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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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Monroe Eskew. 2019-01-04. Dense ideals and cardinal arithmetic. https://arxiv.org/abs/1901.01160

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