Abstract
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.
Note
Dedicated to Fennel, Laurel and Stephanie.
Citation
Justin Tatch Moore. "Forcing axioms and the continuum hypothesis. Part II: transcending ω1-sequences of real numbers." Acta Math. 210 (1) 173 - 183, 2013. https://doi.org/10.1007/s11511-013-0092-z
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