Moti Gitik, Saharon Shelah
Abstract
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.
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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.
Key concepts: Forcing (mathematics), Consistency (knowledge bases), Mathematics, Mathematical economics, Calculus (dental), Pure mathematics, Discrete mathematics, Mathematical analysis