More Jonsson algebras

Saharon Shelah*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

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 square superset signω+. Lastly, we give further information on guessing of clubs.

Original languageEnglish
Pages (from-to)1-44
Number of pages44
JournalArchive for Mathematical Logic
Volume42
Issue number1
DOIs
StatePublished - Jan 2003

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