On level by level equivalence and inequivalence between strong compactness and supercompactness

DOI10.4064/fm171-1-5zbMath0988.03074OpenAlexW2094959044MaRDI QIDQ2773312

Arthur W. Apter

Publication date: 21 February 2002

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/fm171-1-5

zbMATH Keywords

strongly compact cardinalsupercompact cardinalnon-reflecting stationary set of ordinalslevel by level equivalencelevel by level inequivalence

Mathematics Subject Classification ID

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

Related Items (8)

On the consistency strength of level by level inequivalence ⋮ Precisely controlling level by level behavior ⋮ Inner models with large cardinal features usually obtained by forcing ⋮ Level by level inequivalence beyond measurability ⋮ Inaccessible cardinals, failures of GCH, and level-by-level equivalence ⋮ Indestructibility, instances of strong compactness, and level by level inequivalence ⋮ Diamond, square, and level by level equivalence ⋮ Tallness and level by level equivalence and inequivalence

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