A counter-example in the partition calculus for an uncountable ordinal

DOI10.1007/BF02762052zbMath0448.04004MaRDI QIDQ1146672

Jean A. Larson

Publication date: 1980

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

regular cardinalpartition calculuspinning relationuncountable ordinal

Mathematics Subject Classification ID

Generalized Ramsey theory (05C55) Other combinatorial set theory (03E05) Ordinal and cardinal numbers (03E10)

Cites Work

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• Teilmengen von Mengen mit Relationen
• Partition relations for uncountable ordinals
• Ordinary partition relations for ordinal numbers
• A partition theorem for the complete graph on \(\omega^\omega\)
• A partition calculus in set theory
• Pinning countable ordinals
• An Independence Result for Pinning for Ordinals
• A short proof of a partition theorem for the ordinal ωω
• The Pigeon-Hole Principle for Ordinal Numbers
• A Negative Partition Relation
• The fine structure of the constructible hierarchy

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