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A uniqueness theorem for iterations

Published online by Cambridge University Press:  12 March 2014

Paul Larson
Paul Larson*
Affiliation:
Department of Mathematics, University of Toronto, Toronto M5S 3G3, Canada, E-mail: larson@math.toronto.edu
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Abstract

If M is a countable transitive model of , then for every real x there is a unique shortest iteration j: M → N with x ∈ N, or none at all.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 67 , Issue 4 , December 2002 , pp. 1344 - 1350
Copyright
Copyright © Association for Symbolic Logic 2002

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References

REFERENCES

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[2]Larson, P., ℙmax with generic iterations, in preparation.Google Scholar
[3]Larson, P. and Todorčević, S., Chain conditions in maximal models, Fundamenta Mathematicae, vol. 168 (2001), no. 1, pp. 77–104.CrossRefGoogle Scholar
[4]Woodin, W. H., The axiom of determinacy, forcing axioms, and the nonstationary ideal, DeGruyter Series in Logic and Its Applications, vol. 1, 1999.CrossRefGoogle Scholar