English

Global Chang's Conjecture and singular cardinals

Logic 2021-03-08 v2

Abstract

We investigate the possibilities of global versions of Chang's Conjecture that involve singular cardinals. We show some ZFC\mathrm{ZFC} limitations on such principles, and prove relative to large cardinals that Chang's Conjecture can consistently hold between all pairs of limit cardinals below ωω\aleph_{\omega^\omega}.

Keywords

Cite

@article{arxiv.1812.11768,
  title  = {Global Chang's Conjecture and singular cardinals},
  author = {Monroe Eskew and Yair Hayut},
  journal= {arXiv preprint arXiv:1812.11768},
  year   = {2021}
}