Indescribable cardinals without diamonds

DOI10.1007/BF01627508zbMath0742.03018OpenAlexW2020974326MaRDI QIDQ1813062

Kai Hauser

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf01627508

zbMATH Keywords

iterated forcingcombinatorial principleelementary embeddingGeneralized Continuum Hypothesisindescribable cardinal

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Continuum hypothesis and Martin's axiom (03E50) Other combinatorial set theory (03E05)

Related Items (8)

Diamond (on the regulars) can fail at any strongly unfoldable cardinal ⋮ Strong unfoldability, shrewdness and combinatorial consequences ⋮ Compactness and guessing principles in the Radin extensions ⋮ Approximating diamond principles on products at an inaccessible cardinal ⋮ ◇ at Mahlo cardinals ⋮ Double weakness ⋮ Diamonds, compactness, and measure sequences ⋮ Fake reflection

Cites Work

• The indescribability of the order of the indescribable cardinals
• Indescribable cardinals and elementary embeddings
• Higher Souslin trees and the generalized continuum hypothesis

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