### Cardinal preserving ideals

by Gitik and Shelah. [GiSh:310]

J Symbolic Logic, 1999

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 .

Back to the list of publications