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A definable nonstandard model of the reals

Published online by Cambridge University Press:  12 March 2014

Vladimir Kanovei  and
Saharon Shelah
Vladimir Kanovei
Affiliation:
Institute for Information Transmission Problems (IPPI), Russian Academy of Sciences, Bol. Karetnyj Per. 19, Moscow, 127994, Russia, E-mail: kanovei@mccme.ru Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, 91904, Israel
Saharon Shelah
Affiliation:
Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, 91904, Israel Department of Mathematics, Rutgers University, New Brunswick, NJ 08854, USA, E-mail: shelah@math.huji.ac.il, URL: http://www.math.rutgers.edu/~shelah
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Abstract

We prove, in ZFC, the existence of a definable, countably saturated elementary extension of the reals.

Information

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 69 , Issue 1 , March 2004 , pp. 159 - 164
Copyright
Copyright © Association for Symbolic Logic 2004

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References

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