More Jonsson algebras

Saharon Shelah

doi:10.1007/s001530100119

More Jonsson algebras

Saharon Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

8 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 sign_ω⁺. Lastly, we give further information on guessing of clubs.

Original language	English
Pages (from-to)	1-44
Number of pages	44
Journal	Archive for Mathematical Logic
Volume	42
Issue number	1
DOIs	https://doi.org/10.1007/s001530100119
State	Published - Jan 2003

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More Jonsson algebras

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