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On the standard part of nonstandard models of set theory

Published online by Cambridge University Press:  12 March 2014

Menachem Magidor
Affiliation:
Hebrew University, Jerusalem, Israel Bar Ilan University, Ramat Gan, Israel
Saharon Shelah
Affiliation:
Hebrew University, Jerusalem, Israel Bar Ilan University, Ramat Gan, Israel
Jonathan Stavi
Affiliation:
Hebrew University, Jerusalem, Israel Bar Ilan University, Ramat Gan, Israel

Abstract

We characterize the ordinals α of uncountable cofinality such that α is the standard part of a nonstandard model of ZFC (or equivalently KP).

Information

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 1983

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