The higher Cichoń diagram

DOI10.4064/fm666-4-2020zbMath1498.03115arXiv1806.08583OpenAlexW3044144775MaRDI QIDQ5146438

Thomas Baumhauer, Saharon Shelah, Martin Goldstern

Publication date: 25 January 2021

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

Full work available at URL: https://arxiv.org/abs/1806.08583

zbMATH Keywords

forcingweakly compact cardinalhigher Cichoń diagramhigher reals

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Cardinal characteristics of the continuum (03E17)

Related Items (4)

Towers and gaps at uncountable cardinals ⋮ The higher Cichoń diagram in the degenerate case ⋮ The cofinality of the strong measure zero ideal for κ inaccessible ⋮ Generalizing random real forcing for inaccessible cardinals

Uses Software

• MathOverflow

Cites Work

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• A parallel to the null ideal for inaccessible \(\lambda\). I
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• A null ideal for inaccessibles
• Iterated Cohen extensions and Souslin's problem
• Combinatorial Cardinal Characteristics of the Continuum
• On CON(𝔡_{𝜆}> cov_{𝜆}(meagre))
• Perfect-set forcing for uncountable cardinals
• Some theorems of set theory and their topological consequences
• Powers of regular cardinals
• Regularity properties on the generalized reals
• Corrected iteration

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