Negative Partition Relations for Ultrafilters on Uncountable Cardinals

DOI10.2307/2045160zbMath0517.03016OpenAlexW4248353912MaRDI QIDQ3665089

Aki Kanamori, Alan D. Taylor

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/2045160

zbMATH Keywords

GCHpartition relationsuniform ultrafilteruncountable ordinals

Mathematics Subject Classification ID

Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Continuum hypothesis and Martin's axiom (03E50) Other combinatorial set theory (03E05)

Cites Work

• Unnamed Item
• Teilmengen von Mengen mit Relationen
• Separating ultrafilters on uncountable cardinals
• Partition relations for uncountable ordinals
• Ordinary partition relations for ordinal numbers
• Separating collections
• Weakly Normal Filters and Irregular Ultrafilters
• Partition Theorems and Ultrafilters
• Some strong axioms of infinity incompatible with the axiom of constructibility
• On descendingly incomplete ultrafilters

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