Indestructibility and measurable cardinals with few and many measures

DOI10.1007/s00153-008-0079-1zbMath1153.03031OpenAlexW1989708184MaRDI QIDQ948909

Arthur W. Apter

Publication date: 16 October 2008

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

Full work available at URL: https://doi.org/10.1007/s00153-008-0079-1

zbMATH Keywords

measurable cardinalindestructibilitysupercompact cardinalnormal measure

Mathematics Subject Classification ID

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

Related Items (5)

Indestructibility, HOD, and the Ground Axiom ⋮ Indestructibility, instances of strong compactness, and level by level inequivalence ⋮ Indestructibility and destructible measurable cardinals ⋮ Indestructibility and stationary reflection ⋮ Indestructibility, measurability, and degrees of supercompactness

Cites Work

• On certain indestructibility of strong cardinals and a question of Hajnal
• Making the supercompactness of \(\nu\) indestructible under \(\nu\)-directed closed forcing
• Possible behaviours for the Mitchell ordering
• Measurable cardinals and the continuum hypothesis
• Some Remarks on Normal Measures and Measurable Cardinals
• Indestructibility and the level-by-level agreement between strong compactness and supercompactness
• Indestructibility and level by level equivalence and inequivalence
• Large cardinals with few measures
• Level by level equivalence and the number of normal measures over P_κ(λ)
• Gap Forcing: Generalizing the Lévy-Solovay Theorem
• How many normal measures can \aleph_{ω+ 1}carry?
• On the strong equality between supercompactness and strong compactness
• Gap forcing

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