English

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

Logic 2022-06-30 v1

Abstract

Let E\mathcal{E} be the σ\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 E\mathcal{E}, their associated cardinal characteristics (i.e.\ additivity, covering, uniformity and cofinality) are pairwise different.

Keywords

Cite

@article{arxiv.2206.14703,
  title  = {A friendly iteration forcing that the four cardinal characteristics of $\mathcal{E}$ can be pairwise different},
  author = {Miguel A. Cardona},
  journal= {arXiv preprint arXiv:2206.14703},
  year   = {2022}
}

Comments

28 pages, 8 figures. Submitted