Graph explorer

Cardinal preserving ideals

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 .

4 nodes3 linksoverview mapCardinal preserving ideals
4 nodes3 links
Cardinal preserving ideals4 visible / 4 total nodes / 4 links
Co-authorshipAuthorshipAuthorshipTopic signalWCardinal preserving idealspreprint / 1996AMoti GitikResearcherASaharon ShelahResearcherTmath.LO1661 works
PaperSignal 103 links

Cardinal preserving ideals

preprint / 1996

Open