The weak □* is really weaker than the full □

DOI10.2307/2273914zbMath0621.03035OpenAlexW1966028221MaRDI QIDQ3757911

Menachem Magidor, Shai Ben-David

Publication date: 1986

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

Full work available at URL: https://doi.org/10.2307/2273914

zbMATH Keywords

squareultrafiltercombinatorial principlesconsistency of a supercompact cardinalmodel-theoretic transfer property

Mathematics Subject Classification ID

Consistency and independence results (03E35)

Related Items (19)

Souslin trees and successors of singular cardinals ⋮ Ultrafilter convergence in ordered topological spaces ⋮ Combinatorial principles in the core model for one Woodin cardinal ⋮ Tightness in products of fans and pseudo-fans ⋮ Ultrafilter translations. I: \((\lambda, \lambda)\)-compactness of logics with a cardinality quantifier ⋮ On the maximal resolvability of monotonically normal spaces ⋮ KNASTER AND FRIENDS III: SUBADDITIVE COLORINGS ⋮ Club-guessing, stationary reflection, and coloring theorems ⋮ CHARACTERIZATION OF □_κ IN CORE MODELS ⋮ A global version of a theorem of Ben-David and Magidor ⋮ SQUARES, SCALES AND STATIONARY REFLECTION ⋮ Resolvability and monotone normality ⋮ \(I_0\) and combinatorics at \(\lambda ^+\) ⋮ More on regular and decomposable ultrafilters in ZFC ⋮ On SCH and the approachability property ⋮ The two-cardinals transfer property and resurrection of supercompactness 󠀼span style=󠀢color:red󠀢󠀾This article has been retracted󠀼/span󠀾 ⋮ A small ultrafilter number at smaller cardinals ⋮ Non-special Aronszajn trees on \(\aleph _{\omega +1}\) ⋮ Indexed squares

Cites Work

• On the singular cardinals problem. I
• Non-special Aronszajn trees on \(\aleph _{\omega +1}\)
• Strong axioms of infinity and elementary embeddings

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