On universal graphs without instances of CH

DOI10.1016/0168-0072(84)90042-3zbMath0551.03032OpenAlexW2012014930WikidataQ29040357 ScholiaQ29040357MaRDI QIDQ801052

Saharon Shelah

Publication date: 1984

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-0072(84)90042-3

zbMATH Keywords

proper forcingstationary subsetsuniversal graphcccthinning-out

Mathematics Subject Classification ID

Consistency and independence results (03E35) Other combinatorial set theory (03E05)

Related Items (16)

Banach spaces and groups -- order properties and universal models ⋮ SMALL UNIVERSAL FAMILIES OF GRAPHS ON ℵ_{ω + 1} ⋮ Universal functions ⋮ Some universal graphs ⋮ Universal structures in power ℵ₁ ⋮ Nonexistence of universal orders in many cardinals ⋮ Universal graphs without instances of CH: Revisited ⋮ Asymptotic Quasi-completeness and ZFC ⋮ Universal elements and the complexity of certain classes of infinite graphs ⋮ Almost isometric embedding between metric spaces ⋮ On the existence of universal models ⋮ Small universal families for graphs omitting cliques without GCH ⋮ Universal graphs and functions on \(\omega_1\) ⋮ On $(1,\omega _{1})$-weakly universal functions ⋮ Club guessing and the universal models ⋮ A rigid Urysohn-like metric space

Cites Work

• On universal locally finite groups
• Independence results
• Almost-disjoint sets the dense set problem and the partition calculus
• Powers of regular cardinals

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