Title
Non-saturation of the nonstationary ideal on <Emphasis Type="Italic">P</Emphasis><Subscript><Emphasis Type="Italic">κ</Emphasis></Subscript>(λ) in case <Emphasis Type="Italic">κ</Emphasis> ≤ cf (λ) &lt; λ
Abstract
Given a regular cardinal κ > ω 1 and a cardinal λ with κ ≤ cf (λ) < λ, we show that NS κ,λ | T is not λ+-saturated, where T is the set of all \({a\in P_\kappa (\lambda)}\) such that \({| a | = | a \cap \kappa|}\) and \({{\rm cf} \big( {\rm sup} (a\cap\kappa)\big) = {\rm cf} \big({\rm sup} (a)\big) = \omega}\).
Year
DOI
Venue
2012
10.1007/s00153-012-0270-2
Archive for Mathematical Logic
Keywords
Field
DocType
Pκ(λ), Saturation, 03E05
Discrete mathematics,Combinatorics,Saturation (chemistry),Regular cardinal,Omega,Mathematics,Lambda
Journal
Volume
Issue
ISSN
51
3-4
1432-0665
Citations 
PageRank 
References 
1
0.40
1
Authors
1
Name
Order
Citations
PageRank
Pierre Matet12911.25