Forcing axioms and the continuum hypothesis. Part II: transcending ω1-sequences of real numbers
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.
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| Veröffentlicht in: | Acta mathematica 2013, Vol.210 (1), p.173-183 |
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| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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. |
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| ISSN: | 0001-5962 1871-2509 |
| DOI: | 10.1007/s11511-013-0092-z |