English

Viva la difference I: Nonisomorphism of ultrapowers of countable models

Logic 2008-02-03 v1

Abstract

We show that it is not provable in ZFC that any two countable elementarily equivalent structures have isomorphic ultrapowers relative to some ultrafilter on omega .

Keywords

Cite

@article{arxiv.math/9201245,
  title  = {Viva la difference I: Nonisomorphism of ultrapowers of countable models},
  author = {Saharon Shelah},
  journal= {arXiv preprint arXiv:math/9201245},
  year   = {2008}
}