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.
| Original language | English |
|---|---|
| Journal | Bollettino dell'Unione Matematica Italiana |
| DOIs | |
| State | Accepted/In press - 2026 |
Bibliographical note
Publisher Copyright:© The Author(s) 2026.
Keywords
- Club-guessing
- Jónsson cardinal
- PCF theory
- Singular cardinals combinatorics
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