Group radicals and strongly compact cardinals

DOI10.1090/S0002-9947-2013-05871-0zbMath1349.03055OpenAlexW2076688193WikidataQ56813230 ScholiaQ56813230MaRDI QIDQ5401745

Menachem Magidor, Joan Bagaria

Publication date: 12 March 2014

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-2013-05871-0

zbMATH Keywords

strongly compact cardinalmeasurable cardinaltorsion classsupercompact cardinalRadin forcinginfinite abelian groupgroup radical

Mathematics Subject Classification ID

Torsion theories, radicals (18E40) Consistency and independence results (03E35) Large cardinals (03E55) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Related Items (14)

A note on \(\delta \)-strongly compact cardinals ⋮ IDENTITY CRISIS BETWEEN SUPERCOMPACTNESS AND VǑPENKA’S PRINCIPLE ⋮ Accessible images revisited ⋮ \(G_\delta\)-covers and \(\omega_1\)-strongly compact cardinals ⋮ Large cardinal axioms from tameness in AECs ⋮ \(G_\mu \)-covers, strongly compact cardinals and factorization of maps from products in Unif and Top ⋮ Tameness in generalized metric structures ⋮ On the nontrivial solvability of systems of homogeneous linear equations over $\mathbb Z$ in ZFC ⋮ A category-theoretic characterization of almost measurable cardinals ⋮ \(M\)-slenderness ⋮ Tameness, powerful images, and large cardinals ⋮ A note on the tightness of \(G _{\delta}\)-modifications ⋮ Σ‐algebraically compact modules and ‐compact cardinals ⋮ \(\omega_1\)-strongly compact cardinals and normality

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