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The Proper Forcing Axiom and the Singular Cardinal Hypothesis

Matteo Viale
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Abstract

We show that the Proper Forcing Axiom implies the Singular Cardinal Hypothesis. The proof is by interpolation and uses the Mapping Reflection Principle.

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BibTeXRIS

Matteo Viale. 2005-09-27. The Proper Forcing Axiom and the Singular Cardinal Hypothesis. https://arxiv.org/abs/math/0509633

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