The proper forcing axiom and the singular cardinal hypothesis

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

Matteo Viale

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AXIOM | JSYML 2006 | Reflection Principle Mrp | Singular Cardinal Hypothesis |

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» Forcing Axioms Supercompact Cardinals Singular Cardinal Combinatorics

» The consistency strength of choiceless failures of SCH

» The ground axiom

» Combinatorial dichotomies in set theory

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Added	13 Dec 2010
Updated	13 Dec 2010
Type	Journal
Year	2006
Where	JSYML
Authors	Matteo Viale

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The proper forcing axiom and the singular cardinal hypothesis

AXIOM | JSYML 2006 | Reflection Principle Mrp | Singular Cardinal Hypothesis |

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