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Building iteration trees

Published online by Cambridge University Press:  12 March 2014

Alessandro Andretta
Alessandro Andretta*
Affiliation:
Department of Mathematics and Computer Science, Dartmouth College, Hanover, New Hampshire 03755
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Abstract

It is shown, assuming the existence of a Woodin cardinal δ, that every tree ordering on some limit ordinal λ < δ with a cofinal branch is the tree ordering of some iteration tree on V.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 56 , Issue 4 , December 1991 , pp. 1369 - 1384
Copyright
Copyright © Association for Symbolic Logic 1991

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References

REFERENCES

[J]Jech, T., Set theory, Academic Press, New York, 1978.Google Scholar
[MS1]Martin, D. A. and Steel, J. R., A proof of projective determinacy, Journal of the American Mathematical Society, vol. 2 (1989), pp. 71–126.CrossRefGoogle Scholar
[MS2]Martin, D. A. and Steel, J. R., Iteration trees (to appear).Google Scholar