The cofinality of the saturated uncountable random graph

DOI10.1007/s00153-004-0223-5zbMath1057.03032OpenAlexW2044186301MaRDI QIDQ1882563

Steve Warner

Publication date: 1 October 2004

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00153-004-0223-5

zbMATH Keywords

regular cardinalssaturated random graph

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50) Other combinatorial set theory (03E05) Categoricity and completeness of theories (03C35)

Cites Work

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• Unbounded families and the cofinality of the infinite symmetric group
• Uniformization problems and the cofinality of the infinite symmetric group
• The cofinalities of the infinite dimensional classical groups
• The cofinality of the random graph
• Generic Automorphisms of Homogeneous Structures
• Subgroups of Infinite Symmetric Groups
• On the category of models of a complete theory
• The Small Index Property for ω‐Stable ω‐Categorical Structures and for the Random Graph
• Uncountable Saturated Structures have the Small Index Property

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