English

Non-Galvin Filters

Logic 2024-03-05 v1

Abstract

We address the question of the consistency strength of certain filters and ultrafilters which fail to satisfy the Galvin property. We answer questions \cite[Questions 7.8,7.9]{TomMotiII}, \cite[Question 5]{NegGalSing} and improve theorem \cite[Theorem 2.3]{NegGalSing}.

Keywords

Cite

@article{arxiv.2211.00116,
  title  = {Non-Galvin Filters},
  author = {Tom Benhamou and Shimon Garti and Moti Gitik and Alejandro Poveda},
  journal= {arXiv preprint arXiv:2211.00116},
  year   = {2024}
}
R2 v1 2026-06-28T04:53:21.490Z