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The Journal of Symbolic Logic The Journal of Symbolic Logic

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Cardinal preserving ideals

Published online by Cambridge University Press:  12 March 2014

Moti Gitik  and
Saharon Shelah
Moti Gitik
Affiliation:
School of Mathematical Sciences, Tel Aviv University, Tel Aviv, Israel
Saharon Shelah
Affiliation:
Department of Mathematics, Hebrew University of Jerusalem, Jerusalem. Israel, E-mail: shelah@math.huji.ac.il
Corresponding
E-mail address:
shelah@math.huji.ac.il
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Abstract

We give some general criteria, when κ-complete forcing preserves largeness properties—like κ-presaturation of normal ideals on λ (even when they concentrate on small cofinalities). Then we quite accurately obtain the consistency strength “NSλ is αi-preserving”, for λ > α2.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 64 , Issue 4 , December 1999 , pp. 1527 - 1551
Copyright
Copyright © Association for Symbolic Logic 1999

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