English

On ultrafilters in ZF models and indecomposable ultrafilters

Logic 2024-03-15 v1

Abstract

We use indecomposable ultrafilters to answer some questions of Hayut, Karagila paper "Spectra of uniformity". It is shown that the bound on the strength by T. Usuba "A note on uniform ultrafilters in choiceless context" is optimal.

Keywords

Cite

@article{arxiv.2403.09329,
  title  = {On ultrafilters in ZF models and indecomposable ultrafilters},
  author = {Eilon Bilinsky and Moti Gitik},
  journal= {arXiv preprint arXiv:2403.09329},
  year   = {2024}
}