English

Cicho\'n's Diagram and Localisation Cardinals

Logic 2021-04-07 v3

Abstract

We reimplement the creature forcing construction used by Fischer et al. (arXiv:1402.0367) to separate Cicho\'{n}'s diagram into five cardinals as a countable support product. Using the fact that it is of countable support, we augment our construction by adding uncountably many additional cardinal characteristics, sometimes referred to as localisation cardinals.

Keywords

Cite

@article{arxiv.1808.01921,
  title  = {Cicho\'n's Diagram and Localisation Cardinals},
  author = {Martin Goldstern and Lukas Daniel Klausner},
  journal= {arXiv preprint arXiv:1808.01921},
  year   = {2021}
}

Comments

67 pages, 5 figures