ON C(n)-EXTENDIBLE CARDINALS

DOI10.1017/jsl.2018.31zbMath1425.03022OpenAlexW2897231078MaRDI QIDQ4692082

Konstantinos Tsaprounis

Publication date: 26 October 2018

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

Full work available at URL: https://doi.org/10.1017/jsl.2018.31

zbMATH Keywords

extendible cardinalsgeneralized continuum hypothesis (GCH)Laver functions\(C^{(n)}\)-cardinalsultrahuge cardinals

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55)

Related Items (5)

IDENTITY CRISIS BETWEEN SUPERCOMPACTNESS AND VǑPENKA’S PRINCIPLE ⋮ Model theoretic characterizations of large cardinals ⋮ A model of the generic Vopěnka principle in which the ordinals are not Mahlo ⋮ Huge reflection ⋮ MORE ON THE PRESERVATION OF LARGE CARDINALS UNDER CLASS FORCING

Cites Work

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• On extendible cardinals and the GCH
• \(C ^{(n)}\)-cardinals
• Indestructibility of Vopěnka's principle
• Indestructibility properties of remarkable cardinals
• Large cardinals and gap-1 morasses
• Definable orthogonality classes in accessible categories are small
• Elementary chains and \(C ^{(n)}\)-cardinals
• Ultrahuge cardinals
• Consistency Results Concerning Supercompactness
• Fragile measurability
• Laver sequences for extendible and super-almost-huge cardinals
• On extensions of supercompactness
• On Colimits and Elementary Embeddings
• ON RESURRECTION AXIOMS

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