The calculus of partition sequences, changing cofinalities, and a question of Woodin

Author:

Apter Arthur,Henle James,Jackson Stephen

Abstract

We study in this paper polarized infinite exponent partition relations. We apply our results to constructing a model for the theory “ZF + + DC + ω 1 +\omega _1 is the only regular, uncountable cardinal ω ω 1 + 1 \le \omega _{\omega _1+1} .” This gives a partial answer to a question of Woodin.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

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Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Cofinality and measurability of the first three uncountable cardinals;Transactions of the American Mathematical Society;2012-07-12

2. Jonsson-like partition relations and j: V → V;Journal of Symbolic Logic;2004-12

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