The Ultrapower Axiom and the GCH

DOI10.1142/S0219061321500173OpenAlexW3096896932WikidataQ114008515 ScholiaQ114008515MaRDI QIDQ5163168

Gabriel Goldberg

Publication date: 3 November 2021

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

Full work available at URL: https://doi.org/10.1142/s0219061321500173

zbMATH Keywords

ultrafiltersupercompact cardinalgeneralized continuum hypothesisultrapower axiom

Mathematics Subject Classification ID

Large cardinals (03E55)

Cites Work

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• Measurable cardinals and the continuum hypothesis
• Elementary embeddings and infinitary combinatorics
• The number of normal measures
• On strong compactness and supercompactness
• Strong axioms of infinity and elementary embeddings
• The well-foundedness of the Mitchell order
• The linearity of the Mitchell order
• Strong ultrapowers and long core models
• THE INDEPENDENCE OF THE CONTINUUM HYPOTHESIS
• What is Cantor's Continuum Problem?

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