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arXiv · 1812.11768

Global Chang's Conjecture and singular cardinals

Monroe Eskew·Yair Hayut
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Abstract

We investigate the possibilities of global versions of Chang's Conjecture that involve singular cardinals. We show some $\mathrm{ZFC}$ limitations on such principles, and prove relative to large cardinals that Chang's Conjecture can consistently hold between all pairs of limit cardinals below $\aleph_{\omega^\omega}$.

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Monroe Eskew, Yair Hayut. 2018-12-31. Global Chang's Conjecture and singular cardinals. https://arxiv.org/abs/1812.11768

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