Cofinality of normal ideals on \([\lambda]^{<\kappa}\). I

DOI10.1007/s00153-016-0496-5zbMath1408.03032OpenAlexW2463659068MaRDI QIDQ506978

Saharon Shelah, Pierre Matet, Cédric Péan

Publication date: 2 February 2017

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00153-016-0496-5

zbMATH Keywords

normal ideal\([\lambda^{<\kappa}\)]

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Other combinatorial set theory (03E05)

Related Items (8)

Cofinality of normal ideals on \(P_\kappa(\lambda)\). II ⋮ The secret life of \(\mu\)-clubs ⋮ The nonstationary ideal on \(P_\kappa (\lambda )\) for \(\lambda \) singular ⋮ MENAS’S CONJECTURE REVISITED ⋮ Piece selection and cardinal arithmetic ⋮ When \(P_\kappa(\lambda)\) (vaguely) resembles \(\kappa\) ⋮ Non-saturation of the non-stationary ideal on P _κ (λ) with λ of countable cofinality ⋮ Ideals on \({P_{\kappa}(\lambda)}\) associated with games of uncountable length

Cites Work

• A hierarchy of filters smaller than \(CF_{\kappa\lambda}\)
• Two cardinal versions of diamond
• Covering for category and combinatorics on \(P_\kappa(\lambda)\)
• On the existence of strongly normal ideals over \(P_{\kappa}\lambda\)
• Combinatorial set theory: Partition relations for cardinals
• Set theory. An introduction to independence proofs
• Partition relations for \(\kappa\)-normal ideals on \(P_{\kappa}(\lambda)\)
• The generalized continuum hypothesis revisited
• Cofinality of normal ideals on \(P_\kappa(\lambda)\). II
• Large cardinals and covering numbers
• An ideal characterization of Mahlo cardinals
• The Minimal Normal Filter on P κ λ
• On strong compactness and supercompactness
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