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Forcing axioms and the continuum hypothesis. Part II: transcending$ω$_{1}-sequences of real numbers

Justin Tatch Moore Department of Mathematics, Cornell University

Logic mathscidoc:1701.21002

Acta Mathematica, 210, (1), 173-183, 2011.10
The purpose of this article is to prove that the forcing axiom for completely proper forcings is inconsistent with the continuum hypothesis. This answers a longstanding problem of Shelah.
Completely proper forcing; Continuum hypothesis; Forcing axiom; Iterated forcing
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@inproceedings{justin2011forcing,
  title={Forcing axioms and the continuum hypothesis. Part II: transcending$ω$_{1}-sequences of real numbers},
  author={Justin Tatch Moore},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203400458078768},
  booktitle={Acta Mathematica},
  volume={210},
  number={1},
  pages={173-183},
  year={2011},
}
Justin Tatch Moore. Forcing axioms and the continuum hypothesis. Part II: transcending$ω$_{1}-sequences of real numbers. 2011. Vol. 210. In Acta Mathematica. pp.173-183. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203400458078768.
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