# Sh:1215

• Golshani, M., & Shelah, S. (2023). The Keisler-Shelah isomorphism theorem and the continuum hypothesis. Fund. Math., 260(1), 59–66.
• 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.},
fjournal = {Fundamenta Mathematicae},
volume = {260},
number = {1},
year = {2023},
pages = {59--66},
mrnumber = {4516185},
note = {\href{https://arxiv.org/abs/2108.03977}{arXiv: 2108.03977}},
arxiv_number = {2108.03977}
}