# Sh:326

• Shelah, S. (1992). Vive la différence. I. Nonisomorphism of ultrapowers of countable models. In Set theory of the continuum (Berkeley, CA, 1989), Vol. 26, Springer, New York, pp. 357–405.
• 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.
• published version (49p)
Bib entry
@incollection{Sh:326,
author = {Shelah, Saharon},
title = {{Vive la diff\'erence. I. Nonisomorphism of ultrapowers of countable models}},
booktitle = {{Set theory of the continuum (Berkeley, CA, 1989)}},
series = {Math. Sci. Res. Inst. Publ.},
volume = {26},
year = {1992},
pages = {357--405},
publisher = {Springer, New York},
mrnumber = {1233826},
mrreviewer = {Renling Jin},
mrclass = {03C20 (03C15 03E35)},
doi = {10.1007/978-1-4613-9754-0_20},
note = {\href{https://arxiv.org/abs/math/9201245}{arXiv: math/9201245}},
arxiv_number = {math/9201245},
referred_from_entry = {See [Sh:326a]}
}