ON ${\omega _1}$-STRONGLY COMPACT CARDINALS

DOI10.1017/jsl.2013.12zbMath1337.03076OpenAlexW2167408243MaRDI QIDQ2921033

Menachem Magidor, Joan Bagaria

Publication date: 30 September 2014

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

Full work available at URL: https://doi.org/10.1017/jsl.2013.12

zbMATH Keywords

Lindelöf spacesingular cardinal hypothesismetrizable spacecompletely regular spacesecond-order reflection\(\omega_{1}\)-strongly compact cardinalcountably chromatic graph

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Large cardinals (03E55) Applications of set theory (03E75)

Related Items (12)

A note on \(\delta \)-strongly compact cardinals ⋮ IDENTITY CRISIS BETWEEN SUPERCOMPACTNESS AND VǑPENKA’S PRINCIPLE ⋮ Strong compactness and the ultrapower axiom I: the least strongly compact cardinal ⋮ Factorization and local presentability in topological and uniform spaces ⋮ Accessible images revisited ⋮ \(G_\delta\)-covers and \(\omega_1\)-strongly compact cardinals ⋮ On the nontrivial solvability of systems of homogeneous linear equations over $\mathbb Z$ in ZFC ⋮ Internal sizes in \(\mu\)-abstract elementary classes ⋮ Partial strong compactness and squares ⋮ A note on the tightness of \(G _{\delta}\)-modifications ⋮ \(\omega_1\)-strongly compact cardinals and normality ⋮ MORE ON THE PRESERVATION OF LARGE CARDINALS UNDER CLASS FORCING

Cites Work

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• On radicals and products
• Compact cardinals and Abelian groups
• On the role of supercompact and extendible cardinals in logic
• How large is the first strongly compact cardinal? or a study on identity crises
• Strong axioms of infinity and elementary embeddings

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