Fragile measurability

DOI10.2307/2275264zbMath0796.03054OpenAlexW2911866879MaRDI QIDQ4292607

Joel David Hamkins

Publication date: 18 May 1994

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

Full work available at URL: https://doi.org/10.2307/2275264

zbMATH Keywords

forcinginner modelmeasurabilitysupercompactnessstrongness

Mathematics Subject Classification ID

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

Related Items (14)

Lifting elementary embeddings \(j : V_{\lambda } \rightarrow V_{\lambda }\) ⋮ On extendible cardinals and the GCH ⋮ The list-chromatic number of infinite graphs ⋮ Inner models with large cardinal features usually obtained by forcing ⋮ The lottery preparation ⋮ Rank-into-rank hypotheses and the failure of GCH ⋮ I0 and rank-into-rank axioms ⋮ Ultrahuge cardinals ⋮ Forcing a \(\square(\kappa)\)-like principle to hold at a weakly compact cardinal ⋮ ON C⁽ⁿ⁾-EXTENDIBLE CARDINALS ⋮ Superstrong and other large cardinals are never Laver indestructible ⋮ Forcing the Least Measurable to Violate GCH ⋮ Destruction or preservation as you like it ⋮ The wholeness axiom and Laver sequences

Cites Work

• On certain indestructibility of strong cardinals and a question of Hajnal
• Making the supercompactness of \(\nu\) indestructible under \(\nu\)-directed closed forcing

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