The independence of \(\mathsf{GCH}\) and a combinatorial principle related to Banach-Mazur games

DOI10.1007/S00153-021-00770-XOpenAlexW3156235811MaRDI QIDQ2118165

Alan Dow, William Rea Brian, Saharon Shelah

Publication date: 22 March 2022

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

Full work available at URL: https://doi.org/10.1007/s00153-021-00770-x

zbMATH Keywords

measure algebraChang's conjectureCohen forcing\(\square, \bigtriangledown\)

Mathematics Subject Classification ID

Consistency and independence results (03E35) Measures on Boolean rings, measure algebras (28A60) Other combinatorial set theory (03E05) Other set-theoretic hypotheses and axioms (03E65)

Cites Work

• Chang's conjecture for \(\aleph_\omega\)
• Telgársky's conjecture may fail
• On families of mutually exclusive sets
• On the consistency of local and global versions of Chang’s Conjecture
• Some consequences of reflection on the approachability ideal
• A very weak square principle
• INFINITE COMBINATORICS PLAIN AND SIMPLE
• □ on the singular cardinals
• Covering the Plane with Denumerably Many Curves
• Unnamed Item

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