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The two-cardinal problem for languages of arbitrary cardinality

Published online by Cambridge University Press:  12 March 2014

Luis Miguel  and
Villegas Silva
Luis Miguel
Affiliation:
Departamento de Matemáticas, Universidad Autónoma Metropolitana Iztapalapa, Av. San Rafael Atlixco 186, Col. Vicentina, Iztapalapa, 09340 D.F., México. E-mail: [email protected]
Villegas Silva
Affiliation:
Departamento de Matemáticas, Universidad Autónoma Metropolitana Iztapalapa, Av. San Rafael Atlixco 186, Col. Vicentina, Iztapalapa, 09340 D.F., México. E-mail: [email protected]
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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 morasscardinal transfer theoremtwo-cardinal problem
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 75 , Issue 3 , September 2010 , pp. 785 - 801
Copyright
Copyright © Association for Symbolic Logic 2010

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References

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