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 language | English |
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Pages (from-to) | 1-44 |
Number of pages | 44 |
Journal | Archive for Mathematical Logic |
Volume | 42 |
Issue number | 1 |
DOIs | |
State | Published - Jan 2003 |