Ineffability of *_κλ for λ with small cofinality
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概要
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We study ineffability, the Shelah property, and indescribability of $¥mathscr{P}$κλ when cf(λ) < κ. We prove that if λ is a strong limit cardinal with cf(λ) < κ then the ineffable ideal, the Shelah ideal, and the completely ineffable ideal over $¥mathscr{P}$κλ are the same, and that it can be precipitous. Furthermore we show that Π11-indescribability of $¥mathscr{P}$κλ is much stronger than ineffability if 2λ = λ<κ.
- 2008-07-01