Abstract.
We prove that on many inaccessible cardinals there is a Jonsson algebra, so e.g. the first regular Jonsson cardinal λ is λ × ω-Mahlo. We give further restrictions on successor of singulars which are Jonsson cardinals. E.g. there is a Jonsson algebra of cardinality . Lastly, we give further information on guessing of clubs.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received: 10 March 1992 / First revised version: 11 August 1997 / Second revised version: 12 September 2000 / Published online: 5 November 2002
Rights and permissions
About this article
Cite this article
Shelah, S. More Jonsson Algebras. Arch. Math. Logic 42, 1–44 (2003). https://doi.org/10.1007/s001530100119
Issue Date:
DOI: https://doi.org/10.1007/s001530100119