Cofinalities of elementary substructures of structures on \(\aleph_ \omega\)

DOI10.1007/BF02760682zbMath0884.03050arXivmath/9604242OpenAlexW2048756050MaRDI QIDQ1366862

Kecheng Liu, Saharon Shelah

Publication date: 1 April 1998

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9604242

zbMATH Keywords

pcf theorysubstructuresingular cardinalsstationary setscofinality

Mathematics Subject Classification ID

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

Related Items (7)

Mutual stationarity and singular Jonsson cardinals ⋮ Lower consistency bounds for mutual stationarity with divergent uncountable cofinalities ⋮ Lower consistency bounds for mutual stationarity with divergent cofinalities and limited covering ⋮ Mutually stationary sequences of sets and the non-saturation of the non-stationary ideal on \(P_x(\lambda)\) ⋮ Winning the pressing down game but not Banach-Mazur ⋮ On singular stationarity. I: Mutual stationarity and ideal-based methods ⋮ Forcing a mutual stationarity property in cofinality 𝜔₁

Cites Work

• Unnamed Item
• Some notes on iterated forcing with \(2^{\aleph _ 0}>\aleph _ 2\)
• Combinatorial problems on trees: partitions, \(\Delta\)-systems and large free subtrees
• Proper forcing
• Reflecting stationary sets and successors of singular cardinals
• On the size of closed unbounded sets
• On the singular cardinals problem. I
• On the singular cardinals problem. II
• Representing Sets of Ordinals as Countable Unions of Sets in the Core Model
• Stationary subsets of [ℵ_ω^<ω_n]

This page was built for publication: Cofinalities of elementary substructures of structures on \(\aleph_ \omega\)