Thin stationary sets and disjoint club sequences

DOI10.1090/S0002-9947-06-04163-8zbMath1110.03039OpenAlexW1738990268MaRDI QIDQ3420407

John Krueger, Sy-David Friedman

Publication date: 1 February 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-06-04163-8

zbMATH Keywords

Aronszajn treecombinatorial propertiesMahlo cardinaldisjoint club sequencethin stationary set

Mathematics Subject Classification ID

Consistency and independence results (03E35) Other combinatorial set theory (03E05) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (9)

Two applications of finite side conditions at \(\omega _2\) ⋮ Forcing with adequate sets of models as side conditions ⋮ A variant of Shelah's characterization of Strong Chang's Conjecture ⋮ Forcing with sequences of models of two types ⋮ FORCING AXIOMS, APPROACHABILITY, AND STATIONARY SET REFLECTION ⋮ Mitchell's theorem revisited ⋮ Chang's conjecture and semiproperness of nonreasonable posets ⋮ Some applications of mixed support iterations ⋮ INTERNAL APPROACHABILITY AND REFLECTION

Cites Work

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• On the structure of stationary sets
• Martin's maximum, saturated ideals, and nonregular ultrafilters. I
• Combinatorial problems on trees: partitions, \(\Delta\)-systems and large free subtrees
• Forcing closed unbounded sets
• Nonsplitting subset of _κ(κ⁺)
• Saturation Properties of Ideals in Generic Extensions. I
• Aronszajn trees and the independence of the transfer property

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