Strong compactness and the ultrapower axiom I: the least strongly compact cardinal

DOI10.1142/S0219061322500052OpenAlexW4283275859WikidataQ114008514 ScholiaQ114008514MaRDI QIDQ5094530

Gabriel Goldberg

Publication date: 3 August 2022

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

Full work available at URL: https://doi.org/10.1142/s0219061322500052

zbMATH Keywords

strongly compact cardinalultrafilterssupercompact cardinalUltrapower Axiom

Mathematics Subject Classification ID

Mathematical logic and foundations (03-XX)

Cites Work

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• On measurable cardinals violating the continuum hypothesis
• The consistency strength of ``every stationary set reflects
• ON ${\omega _1}$-STRONGLY COMPACT CARDINALS
• The Ultrapower Axiom
• More on regular and decomposable ultrafilters in ZFC
• On strong compactness and supercompactness
• Ramsey cardinals and constructibility
• Menas’ Result is Best Possible
• Tall cardinals
• The fine structure of the constructible hierarchy
• Strong compactness and other cardinal sins
• On descendingly incomplete ultrafilters

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