Journal of Symbolic Logic

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 uses the reflection principle MRP introduced by Moore in [11].

Article information

Source
J. Symbolic Logic, Volume 71, Issue 2 (2006), 473-479.

Dates
First available in Project Euclid: 2 May 2006

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1146620153

Digital Object Identifier
doi:10.2178/jsl/1146620153

Mathematical Reviews number (MathSciNet)
MR2225888

Zentralblatt MATH identifier
1098.03053

Subjects
Primary: 03E05: Other combinatorial set theory 03E10: Ordinal and cardinal numbers 03E65: Other hypotheses and axioms 03E75: Applications of set theory

Keywords
MRP PFA SCH

Citation

Viale, Matteo. The proper forcing axiom and the singular cardinal hypothesis. J. Symbolic Logic 71 (2006), no. 2, 473--479. doi:10.2178/jsl/1146620153. https://projecteuclid.org/euclid.jsl/1146620153


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References

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