Every coseparable group may be free

DOI10.1007/BF02761303zbMath0793.20050arXivmath/9305205OpenAlexW2144859727MaRDI QIDQ1261912

Saharon Shelah, Alan H. Mekler

Publication date: 7 September 1993

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9305205

zbMATH Keywords

Cohen reals\(\aleph_ 1\)-complete forcingnon-free coseparable groupsweak form of CH

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Torsion-free groups, infinite rank (20K20) Model-theoretic forcing (03C25)

Related Items

Forcing a basis into \(\aleph_1\)-free groups, A NOTE ON B-COSEPARABLE GROUPS, Infinite CW-complexes, Brauer groups and phantom cohomology

Cites Work

• Whitehead groups may not be free even assuming CH. II
• A compactness theorem for singular cardinals, free algebras, Whitehead problem and transversals
• On Shelah's compactness of cardinals
• On the structure of Ext(A,Z) in ZFC⁺
• Diamond and λ-systems
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