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Definable well-orders of H(ω2) and GCH

Published online by Cambridge University Press:  12 March 2014

David Asperó  and
Sy-David Friedman
David Asperó
Affiliation:
Institute of Discrete Mathematics and Geometry, Technische Universität Wien, Wiedner Hauptstraße 8–10/104, A-1040 Wien, Austria, E-mail: david.aspero@tuwien.ac.at
Sy-David Friedman
Affiliation:
Kurt Gödel Research Center, Universität Wien, Währinger Straße 25, A-1090 Wien, Austria, E-mail: sdf@logic.univie.ac.at, URL: http://www.logic.univie.ac.at/~sdf/
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Abstract

Assuming 2ℵ0 = ℵ1 and 2ℵ1 = ℵ2, we build a partial order that forces the existence of a well-order of H(ω2) lightface definable over ⟨H(ω1), ∈⟩ and that preserves cardinal exponentiation and cofinalities.

Information

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 77 , Issue 4 , December 2012 , pp. 1101 - 1121
Copyright
Copyright © Association for Symbolic Logic 2012

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References

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