The consistency strength of an infinitary Ramsey property

DOI10.2307/2275698zbMath0818.03026OpenAlexW2144757158MaRDI QIDQ4323035

George Kafkoulis

Publication date: 7 August 1995

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2275698

zbMATH Keywords

consistencyinner modelRamsey propertypartition propertysupercompact cardinalAxiom of Choiceinfinite homogeneous setordinal definable coloringsupercompact Prikry generic extension

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Other combinatorial set theory (03E05)

Related Items (3)

Ordinal definable subsets of singular cardinals ⋮ On the powersets of singular cardinals in HOD ⋮ A Solovay-like model for singular generalized descriptive set theory

Cites Work

• On the singular cardinals problem. I
• Making the supercompactness of \(\nu\) indestructible under \(\nu\)-directed closed forcing
• On strong compactness and supercompactness
• On sequences generic in the sense of Prikry

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