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September 2013 Namba forcing and no good scale
John Krueger
J. Symbolic Logic 78(3): 785-802 (September 2013). DOI: 10.2178/jsl.7803050

Abstract

We develop a version of Namba forcing which is useful for constructing models with no good scale on $\aleph_\omega$. A model is produced in which $\Box_{\aleph_n}$ holds for all finite $n \ge 1$, but there is no good scale on $\aleph_\omega$; this strengthens a theorem of Cummings, Foreman, and Magidor [3] on the non-compactness of square.

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John Krueger. "Namba forcing and no good scale." J. Symbolic Logic 78 (3) 785 - 802, September 2013. https://doi.org/10.2178/jsl.7803050

Information

Published: September 2013
First available in Project Euclid: 6 January 2014

zbMATH: 1315.03085
MathSciNet: MR3135498
Digital Object Identifier: 10.2178/jsl.7803050

Rights: Copyright © 2013 Association for Symbolic Logic

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Vol.78 • No. 3 • September 2013
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