About splitting numbers

DOI10.3792/PJAA.74.33zbMath0902.03035OpenAlexW2088405854MaRDI QIDQ1130273

Toshio Suzuki

Publication date: 5 November 1998

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.74.33

zbMATH Keywords

splitting numberregular cardinalweakly compact cardinaluncountable cardinals

Mathematics Subject Classification ID

Large cardinals (03E55) Other combinatorial set theory (03E05)

Related Items (9)

Fragments of strong compactness, families of partitions and ideal extensions ⋮ Cardinal characteristics at \(\kappa\) in a small \(\mathfrak{u}(\kappa)\) model ⋮ Cardinal invariants of the continuum and combinatorics on uncountable cardinals ⋮ A framework for forcing constructions at successors of singular cardinals ⋮ Strongly unfoldable, splitting and bounding ⋮ Two inequalities between cardinal invariants ⋮ More on uniform ultrafilters over a singular cardinal ⋮ ON THE SPLITTING NUMBER AT REGULAR CARDINALS ⋮ MORE ZFC INEQUALITIES BETWEEN CARDINAL INVARIANTS

Cites Work

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• Set theory. An introduction to independence proofs
• Distributive ideals and partition relations
• A Proof of Projective Determinacy
• The covering lemma for K
• Splitting number at uncountable cardinals

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