On the consistency of local and global versions of Chang's Conjecture

DOI10.1090/TRAN/7260zbMATH Open1522.03210arXiv1607.04904WikidataQ122959209 ScholiaQ122959209MaRDI QIDQ6275645

Monroe Eskew, Yair Hayut

Publication date: 17 July 2016

Abstract: We show that for many pairs of infinite cardinals $kappa>m{u}^{+}>mu$, $(kapp{a}^{+},kappa)woheadrightarrow(m{u}^{+},mu)$ is consistent relative to the consistency of a supercompact cardinal. We also show that it is consistent, relative to a huge cardinal that $(kapp{a}^{+},kappa)woheadrightarrow(m{u}^{+},mu)$ for every successor cardinal $kappa$ and every $mu<kappa$, answering a question of Foreman.

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55)

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