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Namba Forcing and No Good Scale

Published online by Cambridge University Press:  12 March 2014

John Krueger
John Krueger*
Affiliation:
Department of Mathematics, University of North Texas, 1155 Union Circle, #311430 Denton, TX 76203, USA, E-mail: jkrueger@unt.edu
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Abstract

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

Keywords

Good scaleNamba forcing03E3503E04
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 78 , Issue 3 , September 2013 , pp. 785 - 802
Copyright
Copyright © Association for Symbolic Logic 2013

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References

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