English

Compact Cardinals and Eight Values in Cicho\'n's Diagram

Logic 2018-10-01 v2

Abstract

Assuming three strongly compact cardinals, it is consistent that 1<add(null)<cov(null)<b<d<non(null)<cof(null)<20. \aleph_1 < \mathrm{add}(\mathrm{null}) < \mathrm{cov}(\mathrm{null}) < \mathfrak{b} < \mathfrak{d} < \mathrm{non}(\mathrm{null}) < \mathrm{cof}(\mathrm{null}) < 2^{\aleph_0}. Under the same assumption, it is consistent that 1<add(null)<cov(null)<non(meager)<cov(meager)<non(null)<cof(null)<20. \aleph_1 < \mathrm{add}(\mathrm{null}) < \mathrm{cov}(\mathrm{null}) < \mathrm{non}(\mathrm{meager}) < \mathrm{cov}(\mathrm{meager}) < \mathrm{non}(\mathrm{null}) < \mathrm{cof}(\mathrm{null}) < 2^{\aleph_0}.

Keywords

Cite

@article{arxiv.1706.09638,
  title  = {Compact Cardinals and Eight Values in Cicho\'n's Diagram},
  author = {Jakob Kellner and Anda Ramona Tănasie and Fabio Elio Tonti},
  journal= {arXiv preprint arXiv:1706.09638},
  year   = {2018}
}

Comments

A few corrections