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arXiv · 1107.1667

Violating the Singular Cardinals Hypothesis Without Large Cardinals

Moti Gitik·Peter Koepke
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Abstract

We extend a transitive model V of ZFC + GCH cardinal preservingly to a model N of ZF + "GCH holds below Alef_omega" + "there is a surjection from the power set of Alef_omega onto lambda" where lambda is an arbitrarily high fixed cardinal in V.

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Moti Gitik, Peter Koepke. 2011-07-08. Violating the Singular Cardinals Hypothesis Without Large Cardinals. https://arxiv.org/abs/1107.1667

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