### More Jonsson Algebras

by Shelah. [Sh:413]

Archive for Math Logic, 2003

We prove that on many inaccessible there is a Jonsson
algebra, so e.g. the first regular Jonsson cardinal lambda is
lambda x omega-Mahlo. We give further restrictions on
successor of singulars which are Jonsson cardinals. E.g. there
is a Jonsson algebra of cardinality beth^+_omega . Lastly, we give
further information on guessing of clubs.

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