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The proper forcing axiom and the singular cardinal hypothesis

Published online by Cambridge University Press:  12 March 2014

Matteo Viale*
Affiliation:
Dipartimento di Matematica, Universitá di Torino, Torino, Italy Equipe de Logique Mathematique, Université Paris7, Paris, France. E-mail: viale@dm.unito.it

Abstract

We show that the Proper Forcing Axiom implies the Singular Cardinal Hypothesis. The proof uses the reflection principle MRP introduced by Moore in [11].

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 2006

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References

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