# Global Chang’s Conjecture and singular cardinals

@article{Eskew2021GlobalCC, title={Global Chang’s Conjecture and singular cardinals}, author={Monroe Eskew and Yair Hayut}, journal={European Journal of Mathematics}, year={2021}, volume={7}, pages={435 - 463} }

We investigate the possibilities of global versions of Chang’s Conjecture that involve singular cardinals. We show some \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm{ZFC} $$\end{document}ZFC limitations on such principles and prove relative to large cardinals that Chang’s Conjecture can consistently hold…

## One Citation

Compactness versus hugeness at successor cardinals

- MathematicsJournal of Mathematical Logic
- 2022

If $\kappa$ is regular and $2^{<\kappa}\leq\kappa^+$, then the existence of a weakly presaturated ideal on $\kappa^+$ implies $\square^*_\kappa$. This partially answers a question of Foreman and…

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