The two-cardinal problem for languages of arbitrary cardinality

Journal of Symbolic Logic 75 (3):785-801 (2010)

Abstract
Let ℒ be a first-order language of cardinality κ++ with a distinguished unary predicate symbol U. In this paper we prove, working on L, the two cardinal transfer theorem (κ⁺,κ) ⇒ (κ++,κ⁺) for this language. This problem was posed by Chang and Keisler more than twenty years ago
Keywords Coarse morass   cardinal transfer theorem   two-cardinal problem
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DOI 10.2178/jsl/1278682200
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References found in this work BETA

Model Theory.Michael Makkai, C. C. Chang & H. J. Keisler - 1991 - Journal of Symbolic Logic 56 (3):1096.
The Fine Structure of the Constructible Hierarchy.R. Björn Jensen - 1972 - Annals of Pure and Applied Logic 4 (3):229.
A Gap 1 Cardinal Transfer Theorem.Luis M. Villegas-Silva - 2006 - Mathematical Logic Quarterly 52 (4):340-350.

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