Sh:310

• Gitik, M., & Shelah, S. (1999). Cardinal preserving ideals. J. Symbolic Logic, 64(4), 1527–1551. arXiv: math/9605234 DOI: 10.2307/2586794 MR: 1780068
• Abstract:
  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.
• Version 1996-05-05_10 (32p) published version (26p)

@article{Sh:310,
 author = {Gitik, Moti and Shelah, Saharon},
 title = {{Cardinal preserving ideals}},
 journal = {J. Symbolic Logic},
 fjournal = {The Journal of Symbolic Logic},
 volume = {64},
 number = {4},
 year = {1999},
 pages = {1527--1551},
 issn = {0022-4812},
 mrnumber = {1780068},
 mrclass = {03E55 (03E35)},
 doi = {10.2307/2586794},
 note = {\href{https://arxiv.org/abs/math/9605234}{arXiv: math/9605234}},
 arxiv_number = {math/9605234}
}