THE STRENGTH OF THE ISOMORPHISM PROPERTY

Authors
JIN R SHELAH S
Citation
R. Jin et S. Shelah, THE STRENGTH OF THE ISOMORPHISM PROPERTY, The Journal of symbolic logic, 59(1), 1994, pp. 292-301
Citations number
11
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
The Journal of symbolic logic → ACNP
ISSN journal
00224812
Volume
59
Issue
1
Year of publication
1994
Pages
292 - 301
Database
ISI
SICI code
0022-4812(1994)59:1<292:TSOTIP>2.0.ZU;2-H
Abstract
In sectional sign 1 of this paper, we characterize the isomorphism pro perty of nonstandard universes in terms of the realization of some sec ond-order types in model theory. In sectional sign 2, several applicat ions are given. One of the applications answers a question of D. Ross in [this JouRNAL, vol. 55 (1990), pp. 1233-1242) about infinite Loeb m easure spaces.