A friendly iteration forcing that the four cardinal characteristics of $\mathcal E$ can be pairwise different

DOI10.4064/CM8917-2-2023arXiv2206.14703OpenAlexW4364860559MaRDI QIDQ6086109

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Publication date: 9 November 2023

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Abstract: Let $mathcalE$ be the $sigma$-ideal generated by the closed measure zero sets of reals. We use an ultrafilter-extendable matrix iteration of ccc posets to force that, for $mathcalE$, their associated cardinal characteristics (i.e. additivity, covering, uniformity and cofinality) are pairwise different.

Full work available at URL: https://arxiv.org/abs/2206.14703

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