Work

May the successor of a singular cardinal be Jónsson?

Year: 2026

Type: article

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.

Source: Bollettino Della Unione Matematica Italiana

DOI: 10.1007/s40574-025-00525-z

Author: Assaf Rinot

Institution: Bar-Ilan University

Language: English

Topic: Advanced Topology and Set Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funders: Bar-Ilan University, Israel Science Foundation, HORIZON EUROPE European Research Council