An almost strong relation

DOI10.36045/j.bbms.230308arXiv2301.12413MaRDI QIDQ6179270

Shimon Garti, Andrés Villaveces

Publication date: 16 January 2024

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.12413

zbMATH Keywords

polarized partition relationselementary submodelspfc theory

Mathematics Subject Classification ID

Partitions of sets (05A18) Other combinatorial set theory (03E05) Partition relations (03E02) Ordinal and cardinal numbers (03E10) Ordered sets and their cofinalities; pcf theory (03E04) Set-theoretic model theory (03C55)

Cites Work

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• Applications of pcf for mild large cardinals to elementary embeddings
• Shelah's pcf theory and its applications
• Combinatorial set theory
• A proof of Shelah's partition theorem
• Infinite monochromatic paths and a theorem of Erdős-Hajnal-Rado
• A strong polarized relation
• Partition Relations
• Cardinal Arithmetic
• Open and solved problems concerning polarized partition relations
• Unbalanced polarized relations
• A polarized partition relation for cardinals of countable cofinality
• Partition relations for cardinal numbers

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