Ineffability of Pκλ for λ with small cofinality

Toshimichi Usuba*

*この研究の対応する著者

研究成果: Article査読

11 被引用数 (Scopus)

抄録

We study ineffability, the Shelah property, and indescribability of 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 Pκλare the same, and that it can be precipitous. Furthermore we show that Π1/1-indescribability of Pκλ is much stronger than ineffability if 2λ = λ.

本文言語English
ページ(範囲)935-954
ページ数20
ジャーナルJournal of the Mathematical Society of Japan
60
3
DOI
出版ステータスPublished - 2008 7月
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)

引用スタイル