Cofinality of normal ideals on [ λ] <        κ I

Pierre Matet; Cédric Péan; Saharon Shelah

doi:10.1007/s00153-016-0496-5

Cofinality of normal ideals on [ λ] ^< ^κ I

Pierre Matet^*
, Cédric Péan
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

An ideal J on [ λ] ^< ^κ is said to be [ δ] ^< ^θ-normal, where δ is an ordinal less than or equal to λ, and θ a cardinal less than or equal to κ, if given B_e∈ J for e∈ [ δ] ^< ^θ, the set of all a∈ [ λ] ^< ^κ such that a∈ B_e for some e∈ [ a∩ δ] ^< ^| ^a ^∩ ^θ ^| lies in J. We give necessary and sufficient conditions for the existence of such ideals and describe the smallest one, denoted by NSκ,λ[δ]<θ. We compute the cofinality of NSκ,λ[δ]<θ.

Original language	English
Pages (from-to)	799-834
Number of pages	36
Journal	Archive for Mathematical Logic
Volume	55
Issue number	5-6
DOIs	https://doi.org/10.1007/s00153-016-0496-5
State	Published - 1 Aug 2016

Bibliographical note

Publisher Copyright:
© 2016, Springer-Verlag Berlin Heidelberg.

Keywords

Normal ideal
[ λ]

Access to Document

10.1007/s00153-016-0496-5

Cite this

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