Regular ultrafilters and finite square principles

DOI10.2178/jsl/1230396748zbMath1160.03026OpenAlexW2145804345MaRDI QIDQ3617362

Jouko Väänänen, Juliette Kennedy, Saharon Shelah

Publication date: 23 March 2009

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://pure.uva.nl/ws/files/4263702/63016_300513.pdf

zbMATH Keywords

singular cardinalsregular ultrafiltersfinite square principle

Mathematics Subject Classification ID

Other combinatorial set theory (03E05) Set-theoretic model theory (03C55)

Related Items (4)

MODEL-THEORETIC PROPERTIES OF ULTRAFILTERS BUILT BY INDEPENDENT FAMILIES OF FUNCTIONS ⋮ Constructing regular ultrafilters from a model-theoretic point of view ⋮ Atomic saturation of reduced powers ⋮ More on regular and decomposable ultrafilters in ZFC

Cites Work

• The tree property at successors of singular cardinals
• ``Gap 1 two-cardinal principles and the omitting types theorem for \(\mathcal L(\mathcal Q)\)
• The fine structure of the constructible hierarchy

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