English

Creature forcing and five cardinal characteristics in Cicho\'{n}'s diagram

Logic 2017-09-14 v4

Abstract

We use a (countable support) creature construction to show that consistently d=1=cov(NULL)<non(MEAGER)<non(NULL)<cof(NULL)<20. \mathfrak d=\aleph_1= \text{cov}(\text{NULL}) < \text{non}(\text{MEAGER}) < \text{non}(\text{NULL}) < \text{cof}(\text{NULL}) < 2^{\aleph_0}. The same method shows the consistency of d=1=cov(NULL)<non(NULL)<non(MEAGER)<cof(NULL)<20. \mathfrak d=\aleph_1= \text{cov}(\text{NULL}) < \text{non}(\text{NULL}) < \text{non}(\text{MEAGER}) < \text{cof}(\text{NULL}) < 2^{\aleph_0}.

Cite

@article{arxiv.1402.0367,
  title  = {Creature forcing and five cardinal characteristics in Cicho\'{n}'s diagram},
  author = {Arthur Fischer and Martin Goldstern and Jakob Kellner and Saharon Shelah},
  journal= {arXiv preprint arXiv:1402.0367},
  year   = {2017}
}

Comments

(new version: error in the last paragraph corrected)

R2 v1 2026-06-22T02:59:50.250Z