Saturated Ideals in Boolean Extensions
نویسندگان
چکیده
منابع مشابه
Less Saturated Ideals
We prove the following: (1) If κ is weakly inaccessible then NSκ is not κ+-saturated. (2) If κ is weakly inaccessible and θ < κ is regular then NSθ 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 NSθ κ is not κ +-saturated.
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Article history: Received 7 November 2013 Received in revised form 24 June 2014 Accepted 28 June 2014 Available online xxxx MSC: 03E35 03E75
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ژورنال
عنوان ژورنال: Nagoya Mathematical Journal
سال: 1972
ISSN: 0027-7630,2152-6842
DOI: 10.1017/s0027763000015142