On ultrafilters in ZF models and indecomposable ultrafilters
Abstract We use indecomposable ultrafilters to answer some questions from Hayut and Karagila (in Comments Math Univ Carolin 60(2):285–298, 2019). It is shown that the bound on the strength of Usuba (in A note on uniform ultrafilters in choiceless context, arXiv:2401.04871v1 ) is optimal.
Authors
- Eilon Bilinsky
- Moti Gitik (ORCID: https://orcid.org/0000-0002-1479-7642)
Publication Details
- Journal
- Archive for Mathematical Logic
- Published
- 2025-10-04
- DOI
- https://doi.org/10.1007/s00153-025-00983-4
- Primary Topic
- Advanced Topology and Set Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00