English

Splitting, Bounding, and Almost Disjointness can be quite Different

Logic 2019-08-15 v2

Abstract

We prove the consistency of add(N)<cov(N)<p=g=s<add(M)=cof(M)<a=non(N)=c\mathrm{add}(\mathcal{N})<\mathrm{cov}(\mathcal{N})<\mathfrak{p}=\mathfrak{g}=\mathfrak{s}<\mathrm{add}(\mathcal{M})=\mathrm{cof}(\mathcal{M})<\mathfrak{a}=\mathrm{non}(\mathcal{N})=\mathfrak{c} with ZFC where each of these cardinal invariants assume arbitrary uncountable regular values.

Keywords

Cite

@article{arxiv.1508.01068,
  title  = {Splitting, Bounding, and Almost Disjointness can be quite Different},
  author = {Vera Fischer and Diego A. Mejía},
  journal= {arXiv preprint arXiv:1508.01068},
  year   = {2019}
}

Comments

To appear in the Canadian Journal of Mathematics. 27 pages, 2 figures

R2 v1 2026-06-22T10:27:00.118Z