New combinatorial principle on singular cardinals and normal ideals

    研究成果: Article

    抜粋

    We introduce a new combinatorial principle on singular cardinals. This principle allows us to take a kind of a diagonal intersection of more than λ many measure one sets of certain normal ideals over ℘(λ). Under the principle, we give various characterizations of the saturation property of normal ideals over ℘(λ). We also consider Chang's type transfer properties under the principle, and, when λ is Jónsson, we prove that every normal ideal over ℘(λ) with {x ⊆ λ : |x| = λ} measure one cannot have strong properties.

    元の言語English
    ジャーナルMathematical Logic Quarterly
    DOI
    出版物ステータスAccepted/In press - 2018 1 1

    ASJC Scopus subject areas

    • Logic

    フィンガープリント New combinatorial principle on singular cardinals and normal ideals' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

  • これを引用