Small \(\mathfrak{u}(\kappa )\) at singular \(\kappa\) with compactness at \(\kappa^{++}\)

DOI10.1007/S00153-021-00776-5OpenAlexW3166038717MaRDI QIDQ2118168

Šárka Stejskalová, Radek Honzík

Publication date: 22 March 2022

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

Full work available at URL: https://doi.org/10.1007/s00153-021-00776-5

zbMATH Keywords

ultrafilter numberapproachabilitystationary reflectiontree property

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55)

Related Items (3)

Indestructibility of some compactness principles over models of \(\mathsf{PFA} \) ⋮ TREES AND STATIONARY REFLECTION AT DOUBLE SUCCESSORS OF REGULAR CARDINALS ⋮ A Galvin-Hajnal theorem for generalized cardinal characteristics

Cites Work

• Unnamed Item
• Cardinal characteristics at \(\kappa\) in a small \(\mathfrak{u}(\kappa)\) model
• Fragility and indestructibility of the tree property
• Results on the generic Kurepa hypothesis
• Aronszajn trees on \(\aleph_2\) and \(\aleph_3\).
• A Laver-like indestructibility for hypermeasurable cardinals
• Cardinal characteristics at \(\aleph_\omega\)
• A small ultrafilter number at smaller cardinals
• The ultrafilter number for singular cardinals
• The Tree Property at $\omega _2$ and Bounded Forcing Axioms
• A strong polarized relation
• Full reflection of stationary sets below ℵ_ω
• Approachability at the second successor of a singular cardinal
• Combinatorics on ideals and forcing
• Changing cofinality of cardinals
• THE EIGHTFOLD WAY
• Reflecting stationary sets
• INDESTRUCTIBILITY OF THE TREE PROPERTY
• A note on the eightfold way

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