Partition calculus and cardinal invariants
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Publication:2248625
DOI10.2969/jmsj/06620425zbMath1322.03033arXiv1112.5772OpenAlexW3103573673MaRDI QIDQ2248625
Publication date: 27 June 2014
Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1112.5772
Consistency and independence results (03E35) Other combinatorial set theory (03E05) Cardinal characteristics of the continuum (03E17) Partition relations (03E02) Ordered sets and their cofinalities; pcf theory (03E04)
Related Items (13)
Open and solved problems concerning polarized partition relations ⋮ Cardinal characteristics at \(\kappa\) in a small \(\mathfrak{u}(\kappa)\) model ⋮ Bounding, splitting, and almost disjointness ⋮ Combinatorial aspects of the splitting number ⋮ Negating the Galvin property ⋮ Two inequalities between cardinal invariants ⋮ Remarks on generalized ultrafilter, dominating and reaping numbers ⋮ ON CONFIGURATIONS CONCERNING CARDINAL CHARACTERISTICS AT REGULAR CARDINALS ⋮ Tiltan ⋮ Amenable colorings ⋮ Dense free sets ⋮ Cardinal characteristics of the continuum and partitions ⋮ Polarized relations at singulars over successors
Cites Work
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- Bounding, splitting, and almost disjointness
- There may be simple \(P_{\aleph _ 1}\)- and \(P_{\aleph _ 2}\)-points and the Rudin-Keisler ordering may be downward directed
- Blowing up power of a singular cardinal -- wider gaps
- Ultrafilters with small generating sets
- Strong polarized relations for the continuum
- Combinatorial aspects of the splitting number
- The ultrafilter number for singular cardinals
- A strong polarized relation
- Partition Relations
- Combinatorial Cardinal Characteristics of the Continuum
- Universal graphs at the successor of a singular cardinal
- A partition calculus in set theory
- Splitting number at uncountable cardinals
- Partition relations for cardinal numbers
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