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Unfoldable cardinals and the GCH

Published online by Cambridge University Press:  12 March 2014

Joel David Hamkins
Joel David Hamkins*
Affiliation:
The City University of New York, The College of Staten Island, Mathematics 1S-215, 2800 Victory Blvd., Staten Island, NY 10314, USA The CUNY Graduate Center, Mathematics, 365 Fifth Ave, New York, NY 10016, USA, URL: http://math.gc.cuny.edu/faculty/hamkins
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Abstract

Unfoldable cardinals are preserved by fast function forcing and the Laver-like preparations that fast functions support. These iterations show, by set-forcing over any model of ZFC, that any given unfoldable cardinal κ can be made indestructible by the forcing to add any number of Cohen subsets to κ.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 66 , Issue 3 , September 2001 , pp. 1186 - 1198
Copyright
Copyright © Association for Symbolic Logic 2001

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References

REFERENCES

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