English

The strength of the isomorphism property

Logic 2008-02-03 v1

Abstract

In section 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 section 2, several applications are given. One of the applications answers a question of D. Ross about infinite Loeb measure spaces

Keywords

Cite

@article{arxiv.math/9401216,
  title  = {The strength of the isomorphism property},
  author = {Renling Jin and Saharon Shelah},
  journal= {arXiv preprint arXiv:math/9401216},
  year   = {2008}
}