Sh:577

• Gitik, M., & Shelah, S. (1997). Less saturated ideals. Proc. Amer. Math. Soc., 125(5), 1523–1530. arXiv: math/9503203 DOI: 10.1090/S0002-9939-97-03702-7 MR: 1363421
• Abstract:
  We prove the following:

  (1) If \kappa is weakly inaccessible then NS_\kappa is not \kappa^+-saturated.

  (2) If \kappa is weakly inaccessible and \theta<\kappa is regular then NS^\theta_\kappa is not \kappa^+-saturated.

  (3) If \kappa is singular then NS^{cf(\kappa)}_{\kappa^+} is not \kappa^{++}-saturated.

  Combining this with previous results of Shelah, one obtains the following: (A) If \kappa>\aleph_1 then NS_\kappa is not \kappa^+-saturated. (B) If \theta^+<\kappa then NS^\theta_\kappa is not \kappa^+-saturated.

• Version 1996-05-05_10 (13p) published version (8p)

@article{Sh:577,
 author = {Gitik, Moti and Shelah, Saharon},
 title = {{Less saturated ideals}},
 journal = {Proc. Amer. Math. Soc.},
 fjournal = {Proceedings of the American Mathematical Society},
 volume = {125},
 number = {5},
 year = {1997},
 pages = {1523--1530},
 issn = {0002-9939},
 mrnumber = {1363421},
 mrclass = {03E55 (03E05 03E35)},
 doi = {10.1090/S0002-9939-97-03702-7},
 note = {\href{https://arxiv.org/abs/math/9503203}{arXiv: math/9503203}},
 arxiv_number = {math/9503203}
}