## Journal of Symbolic Logic

### The Strength of the Isomorphism Property

#### Abstract

In $\S 1$ 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 $\S 2$, 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.

#### Article information

Source
J. Symbolic Logic, Volume 59, Issue 1 (1994), 292-301.

Dates
First available in Project Euclid: 6 July 2007

https://projecteuclid.org/euclid.jsl/1183744450

Mathematical Reviews number (MathSciNet)
MR1264980

Zentralblatt MATH identifier
0798.03065

JSTOR