Cofinality of normal ideals on Pκ(λ) II

Pierre Matet*, Cédric Péan, Saharon Shelah

*Corresponding author for this work

Research output: Contribution to journalReview articlepeer-review

10 Scopus citations

Abstract

For an ideal J on an infinite set X with add(J) = κ, let cof̄(J) be the smallest size of any subfamily Y of J with the property that any member of J can be covered by less than κ members of Y. We study the value of cof̄(NSκ,λ[δ]<θ| A) for A in (NSκ,λ[δ]<θ)+, where NSκ,λ[δ]<θdenotes the smallest [δ]-normal ideal on P κ(λ). We also discuss the problem of whether there exists a set A such that NSκ,λ [δ]<θ = Iκ,λ | A, or even NSκ,λ[δ]<θ |A=I κ,λ | A.

Original languageEnglish
Pages (from-to)253-283
Number of pages31
JournalIsrael Journal of Mathematics
Volume150
DOIs
StatePublished - 2005

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