English

Towers and clubs

Logic 2019-08-16 v1

Abstract

We revisit several results concerning club principles and nonsaturation of the nonstationary ideal, attempting to improve them in various ways. So we typically deal with a (non necessarily normal) ideal JJ extending the nonstationary ideal on a regular uncountable (non necessarily successor) cardinal κ\kappa, our goal being to witness the nonsaturation of JJ by the existence of towers (of length possibly greater than κ+\kappa^+).

Keywords

Cite

@article{arxiv.1908.05336,
  title  = {Towers and clubs},
  author = {Pierre Matet},
  journal= {arXiv preprint arXiv:1908.05336},
  year   = {2019}
}
R2 v1 2026-06-23T10:47:50.692Z