English

The Proper Forcing Axiom and the Singular Cardinal Hypothesis

Logic 2007-05-23 v1

Abstract

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

Keywords

Cite

@article{arxiv.math/0509633,
  title  = {The Proper Forcing Axiom and the Singular Cardinal Hypothesis},
  author = {Matteo Viale},
  journal= {arXiv preprint arXiv:math/0509633},
  year   = {2007}
}

Comments

10 pages

R2 v1 2026-07-22T17:25:05.912Z