May the successor of a singular cardinal be Jónsson?
Abstract Whether the successor of a singular cardinal can be Jónsson is a very old and famous open problem in set theory. Here, we collect necessary conditions for an affirmative answer, and put forward a list of closely-related questions in singular cardinals combinatorics that could eventually lead to settling the main problem at hand.
Authors
- Assaf Rinot (ORCID: https://orcid.org/0000-0001-9309-5798)
Institutions
- Bar-Ilan University (IL)
Publication Details
- Journal
- Bollettino dell Unione Matematica Italiana
- Published
- 2026-01-07
- DOI
- https://doi.org/10.1007/s40574-025-00525-z
- Primary Topic
- Advanced Topology and Set Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Bar-Ilan University