On guessing generalized clubs at the successors of regulars

DOI10.1016/j.apal.2011.01.007zbMath1233.03054OpenAlexW2020524126MaRDI QIDQ639664

Assaf Rinot

Publication date: 22 September 2011

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apal.2011.01.007

zbMATH Keywords

uniformizationclub guessingSouslin treediamondgeneralized clubsnon-saturation

Mathematics Subject Classification ID

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

Related Items (6)

Higher Souslin trees and the GCH, revisited ⋮ A microscopic approach to Souslin-tree construction. II ⋮ A microscopic approach to Souslin-tree constructions. I. ⋮ REDUCED POWERS OF SOUSLIN TREES ⋮ Strong combinatorial principles and level by level equivalence ⋮ Towers and clubs

Cites Work

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• \(\mu\)-complete Souslin trees on \(\mu^ +\)
• Club guessing and the universal models
• The uniformization property for \(chi_ 2\).
• Not collapsing cardinals \(\leq\kappa\) in \((<\kappa)\)-support iterations
• Saturated filters at successors of singulars, weak reflection and yet another weak club principle
• Ideals and Generic Elementary Embeddings
• Higher Souslin trees and the generalized continuum hypothesis
• Guessing clubs in the generalized club filter
• The fine structure of the constructible hierarchy

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