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The strength of the isomorphism property

Published online by Cambridge University Press:  12 March 2014

Renling Jin  and
Saharon Shelah
Renling Jin
Affiliation:
Department of Mathematics, University of of California, Berkeley, California 94720
Saharon Shelah
Affiliation:
Institute of Mathematics, The Hebrew University, Jerusalem, Israel Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903
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Abstract

In § 1 of this paper, we characterize the isomorphism property of nonstandard universes in terms of the realization of some second-order types in model theory. In §2, several applications are given. One of the applications answers a question of D. Ross in [this Journal, vol. 55 (1990), pp. 1233–1242] about infinite Loeb measure spaces.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 59 , Issue 1 , March 1994 , pp. 292 - 301
Copyright
Copyright © Association for Symbolic Logic 1994

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References

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