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More Jonsson Algebras

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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.

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Authors and Affiliations

  1. Institute of Mathematics, The Hebrew University, Givat Ram, Jerusalem 91904, Israel (e-mail: shelah@math.huji.ac.il) and Rutgers University, Mathematics Department, New Brunswick, NJ, USA, , , , , , IL

    Saharon Shelah

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  1. Saharon Shelah
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Received: 10 March 1992 / First revised version: 11 August 1997 / Second revised version: 12 September 2000 / Published online: 5 November 2002

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Shelah, S. More Jonsson Algebras. Arch. Math. Logic 42, 1–44 (2003). https://doi.org/10.1007/s001530100119

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  • DOI: https://doi.org/10.1007/s001530100119