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nonstationary ideals","license":"","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Moti Gitik, Saharon Shelah","submitted_at":"1995-03-01T00:00:00Z","abstract_excerpt":"We are proving the following:\n (1) If $\\kap$ is a weakly inaccessible then $NS_\\kap$  is not $\\kap^+$-saturated.\n (2) If $\\kap$  is a weakly inaccessible and $\\tet <\\kap$ is regular then $NS^\\tet_\\kap$  is not $\\kap^+$-saturated.\n (3) If $\\kap$  is singular then $NS^{cf\\kap}_{\\kap^+}$ is not $\\kap^{++}$-saturated.\n  Combining this with previous results of Shelah, one obtains the following:\n (A) If $\\kap >\\aleph_1$  then $NS_\\kap$ is not $\\kap^+$-saturated.\n (B) If $\\tet^+<\\kap$  then $NS^\\tet_\\kap$ is not 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