TY - JOUR
T1 - Cofinality of normal ideals on Pκ(λ) II
AU - Matet, Pierre
AU - Péan, Cédric
AU - Shelah, Saharon
PY - 2005
Y1 - 2005
N2 - 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]<θ-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.
AB - 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]<θ-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.
UR - http://www.scopus.com/inward/record.url?scp=33644951521&partnerID=8YFLogxK
U2 - 10.1007/BF02762383
DO - 10.1007/BF02762383
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.systematicreview???
AN - SCOPUS:33644951521
SN - 0021-2172
VL - 150
SP - 253
EP - 283
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
ER -