Forcing axioms and the continuum hypothesis. Part II: transcending ω1-sequences of real numbers

Justin Tatch Moore

doi:10.1007/s11511-013-0092-z

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Home > Journals > Acta Math. > Volume 210 > Issue 1 > Article

2013 Forcing axioms and the continuum hypothesis. Part II: transcending ω₁-sequences of real numbers

Justin Tatch Moore

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Justin Tatch Moore¹
¹Department of Mathematics, Cornell University

Acta Math. 210(1): 173-183 (2013). DOI: 10.1007/s11511-013-0092-z

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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.

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Dedicated to Fennel, Laurel and Stephanie.

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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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Received: 27 October 2011; Published: 2013

First available in Project Euclid: 31 January 2017

zbMATH: 1312.03032

MathSciNet: MR3037613

Digital Object Identifier: 10.1007/s11511-013-0092-z

Subjects:

Primary: 03E50

Secondary: 03E57

Keywords: Completely proper forcing , Continuum hypothesis , Forcing axiom , Iterated forcing

Rights: 2013 © Institut Mittag-Leffler

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Justin Tatch Moore "Forcing axioms and the continuum hypothesis. Part II: transcending ω₁-sequences of real numbers," Acta Mathematica, Acta Math. 210(1), 173-183, (2013)

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