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The independence of

Published online by Cambridge University Press:  12 March 2014

Amir Leshem  and
Menachem Magidor
Amir Leshem
Affiliation:
Institute of Mathematics, Hebrew University, Jerusalem, Israel E-mail: [email protected]
Menachem Magidor
Affiliation:
Institute of Mathematics, Hebrew University, Jerusalem, Israel E-mail: [email protected]
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Abstract

In this paper we prove the independence of for n ≥ 3. We show that can be forced to be above any ordinal of L using set forcing. For we prove that it can be forced, using set forcing, to be above any L cardinal κ such that κ is Π1 definable without parameters in L. We then show that cannot be forced by a set forcing to be above every cardinal of L Finally we present a class forcing construction to make greater than any given L cardinal.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 64 , Issue 1 , March 1999 , pp. 350 - 362
Copyright
Copyright © Association for Symbolic Logic 1999

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References

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