# Nonregular ideals

@article{Eskew2019NonregularI,
title={Nonregular ideals},
author={Monroe Eskew},
journal={arXiv: Logic},
year={2019}
}
Most of the regularity properties of ideals introduced by Taylor are equivalent at successor cardinals. For $\kappa = \mu^+$ with $\mathrm{cf}(\mu)$ uncountable, we can rid the universe of dense ideals on $\mathcal{P}_\kappa(\lambda)$ for while preserving nonregular ideals on the same set.

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