Some problems in singular cardinals combinatorics

DOI10.1305/ndjfl/1125409329zbMath1092.03022OpenAlexW2059721080MaRDI QIDQ816291

Matthew Foreman

Publication date: 10 March 2006

Published in: Notre Dame Journal of Formal Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1305/ndjfl/1125409329

zbMATH Keywords

superatomic Boolean algebrassingular cardinals hypothesisPCF theoryAronszajn treesmutual stationarity

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Other combinatorial set theory (03E05) Ordered sets and their cofinalities; pcf theory (03E04)

Related Items (4)

Mutual stationarity and singular Jonsson cardinals ⋮ ARONSZAJN TREES AND FAILURE OF THE SINGULAR CARDINAL HYPOTHESIS ⋮ Diagonal Prikry extensions ⋮ The tree property at first and double successors of singular cardinals with an arbitrary gap

Cites Work

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• On ideals related to \(I[\lambda\)]
• Around Silver's theorem
• Some open questions for superatomic Boolean algebras
• Adding closed unbounded subsets of \(\omega_2\) with finite forcing
• A question about Suslin trees and the weak square hierarchy
• Some open problems in mutual stationary involving inner model: a commentary
• Minimal collapsing extensions of models of ZFC
• Remarks on superatomic Boolean algebras
• Inequalities for cardinal powers
• On the singular cardinals problem. II
• The tree property at successors of singular cardinals
• Canonical structure in the universe of set theory. I
• SQUARES, SCALES AND STATIONARY REFLECTION
• A very weak square principle
• Singular Cardinals and the PCF Theory
• A finite family weak square principle
• Mutually stationary sequences of sets and the non-saturation of the non-stationary ideal on \(P_x(\lambda)\)

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