ar X iv : m at h / 95 03 20 3 v 1 [ m at h . L O ] 1 M ar 1 99 5 LESS SATURATED IDEALS by Moti
نویسنده
چکیده
We are proving the following: (1) If κ is a weakly inaccessible then NSκ is not κ -saturated. (2) If κ is a weakly inaccessible and θ < κ is regular then NS κ is not κ saturated. (3) If κ is singular then NS κ+ is not κ-saturated. Combining this with previous results of Shelah, one obtains the following: (A) If κ > א1 then NSκ is not κ -saturated. (B) If θ < κ then NS κ is not κ -saturated.
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تاریخ انتشار 1995