English

Fr\'echet cardinals

Logic 2018-10-12 v1

Abstract

An infinite cardinal λ\lambda is called Fr\'echet if the Fr\'echet filter on λ\lambda extends to a countably complete ultrafilter. We investigate the relationship between Fr\'echet cardinals and strongly compact cardinals under a hypothesis called the Ultrapower Axiom.

Keywords

Cite

@article{arxiv.1810.05035,
  title  = {Fr\'echet cardinals},
  author = {Gabriel Goldberg},
  journal= {arXiv preprint arXiv:1810.05035},
  year   = {2018}
}
R2 v1 2026-06-23T04:36:22.242Z