Partition relations for successor cardinals

DOI10.1016/0001-8708(86)90049-6zbMath0626.03039OpenAlexW2090265172MaRDI QIDQ580335

Akihiro Kanamori

Publication date: 1986

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(86)90049-6

zbMATH Keywords

forcinglarge cardinalpartition relationsPrikry's PrincipleRebholz's Principlesuccessor cardinal

Mathematics Subject Classification ID

Consistency and independence results (03E35) Inner models, including constructibility, ordinal definability, and core models (03E45) Large cardinals (03E55) Other combinatorial set theory (03E05)

Related Items (2)

A theory of stationary trees and the balanced Baumgartner-Hajnal-Todorcevic theorem for trees ⋮ Laver and set theory

Cites Work

• S-forcing. I: a black-box theorem for morasses, with applications to super-Souslin trees
• Partition relations for partially ordered sets
• Aspects of constructibility
• Combinatorial set theory
• On a set-theoretic partition problem
• On a problem of Erdős, Hajnal and Rado
• Notes on combinatorial set theory
• A partition calculus in set theory
• Some results and problems on set theory
• Forcing Positive Partition Relations
• Morasses, diamond, and forcing
• Simplified morasses with linear limits
• Der Beweis eines Satzes von G. Choodnovsky
• Some consequences of the Morass and diamond
• Saturated ideals
• The Pigeon-Hole Principle for Ordinal Numbers
• A proof (involving Martin's axiom) of a partition relation
• A Problem on Ordered Sets
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