New combinatorial principle on singular cardinals and normal ideals

Toshimichi Usuba*

*この研究の対応する著者

研究成果: Article査読

抄録

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.

本文言語English
ページ(範囲)395-408
ページ数14
ジャーナルMathematical Logic Quarterly
64
4-5
DOI
出版ステータスPublished - 2018 11月

ASJC Scopus subject areas

  • 論理

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