THE CLUB GUESSING IDEAL: COMMENTARY ON A THEOREM OF GITIK AND SHELAH

DOI10.1142/S0219061305000419zbMath1081.03047OpenAlexW2082380580MaRDI QIDQ5694200

Matthew Foreman, Péter Komjáth

Publication date: 29 September 2005

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

Full work available at URL: https://doi.org/10.1142/s0219061305000419

zbMATH Keywords

club guessingstationary setsaturated idealnon-stationary idealhuge cardinal

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Other combinatorial set theory (03E05) Other set-theoretic hypotheses and axioms (03E65)

Related Items (10)

More on perfectly normal non-realcompact spaces ⋮ Smoke and mirrors: combinatorial properties of small cardinals equiconsistent with huge cardinals ⋮ Compactness and guessing principles in the Radin extensions ⋮ SQUARE WITH BUILT-IN DIAMOND-PLUS ⋮ Calculating quotient algebras of generic embeddings ⋮ IDEAL PROJECTIONS AND FORCING PROJECTIONS ⋮ The saturation of club guessing ideals ⋮ Local saturation and square everywhere ⋮ Club guessing and the universal models ⋮ A tail club guessing ideal can be saturated without being a restriction of the nonstationary ideal

Cites Work

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• Aronszajn trees on \(\aleph_2\) and \(\aleph_3\).
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• SQUARES, SCALES AND STATIONARY REFLECTION
• Handbook of Set Theory
• Adding a closed unbounded set
• On splitting stationary subsets of large cardinals
• Strong axioms of infinity and elementary embeddings
• Saturated ideals
• Less saturated ideals

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