On a problem of Foreman and Magidor

DOI10.1007/s00153-004-0259-6zbMath1068.03039OpenAlexW2031571490MaRDI QIDQ1778061

Arthur W. Apter

Publication date: 26 May 2005

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

Full work available at URL: https://doi.org/10.1007/s00153-004-0259-6

zbMATH Keywords

indestructibilitysupercompact cardinalsymmetric inner modelmutual stationarityalmost huge cardinal

Mathematics Subject Classification ID

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

Related Items (2)

Remarks on Gitik's model and symmetric extensions on products of the Lévy collapse ⋮ Combinatorial properties and dependent choice in symmetric extensions based on Lévy collapse

Cites Work

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• Some results on consecutive large cardinals
• Some results on consecutive large cardinals. II: Applications of Radin forcing
• Some new upper bounds in consistency strength for certain choiceless large cardinal patterns
• Making the supercompactness of \(\nu\) indestructible under \(\nu\)-directed closed forcing
• Measurable cardinals and the continuum hypothesis
• Canonical structure in the universe of set theory. II.
• Laver indestructibility and the class of compact cardinals
• Mutually stationary sequences of sets and the non-saturation of the non-stationary ideal on \(P_x(\lambda)\)

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