Sh:1215

• Golshani, M., & Shelah, S. The Keisler-Shelah isomorphism theorem and the continuum hypothesis. Fund. Math. To appear. arXiv: 2108.03977
• Abstract:
We show that if for any two elementary equivalent structures \bold M, \bold N of size at most continuum in a countable language, \bold M^{\omega}/ \mathcal U \simeq \bold N^\omega / \mathcal U for some ultrafilter \mathcal U on \omega, then CH holds. We also provide some consistency results about Keisler and Shelah isomorphism theorems in the absence of CH.
• Version 2022-05-10 (9p)
Bib entry
@article{Sh:1215,
author = {Golshani, Mohammad and Shelah, Saharon},
title = {{The Keisler-Shelah isomorphism theorem and the continuum hypothesis}},
journal = {Fund. Math.},
year = {to appear},
note = {\href{https://arxiv.org/abs/2108.03977}{arXiv: 2108.03977}},
arxiv_number = {2108.03977}
}