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Cardinal preserving ideals

Published online by Cambridge University Press:  12 March 2014

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

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
Copyright
Copyright © Association for Symbolic Logic 1999

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