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The strength of the isomorphism property
Journal of Symbolic Logic 59 (1):292-301 (1994)
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 spacesLinks
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Citations of this work
Distinguishing three strong saturation properties in nonstandard analysis.Renling Jin - 1999 - Annals of Pure and Applied Logic 98 (1-3):157-171.
Isomorphism property in nonstandard extensions of theZFC universe.Vladimir Kanovei & Michael Reeken - 1997 - Annals of Pure and Applied Logic 88 (1):1-25.
The generic filter property in nonstandard analysis.Mauro Di Nasso - 2001 - Annals of Pure and Applied Logic 111 (1-2):23-37.
References found in this work
Model Theory.Michael Makkai, C. C. Chang & H. J. Keisler - 1991 - Journal of Symbolic Logic 56 (3):1096.
A theorem on the isomorphism property.Renling Jin - 1992 - Journal of Symbolic Logic 57 (3):1011-1017.
Game sentences and ultrapowers.Renling Jin & H. Jerome Keisler - 1993 - Annals of Pure and Applied Logic 60 (3):261-274.
Foundations of Infinitesimal Stochastic Analysis.K. D. Stroyan - 1988 - Journal of Symbolic Logic 53 (4):1261-1262.
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