Cardinal preserving ideals

Details Cardinal preserving ideals Cardinal preserving ideals

1996-05-15

arxiv.org/abs/math/9605234v1

Mathematics

Logic

Scientific paper

We give some general criteria, when kappa-complete forcing preserves
largeness properties -- like kappa-presaturation of normal ideals on lambda
(even when they concentrate on small cofinalities). Then we quite accurately
obtain the consistency strength ``NS_lambda is aleph_1-preserving'', for
lambda > aleph_2 .

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