Filtration-equivalent \(\aleph_1\)-separable Abelian groups of cardinality \(\aleph_1\).

DOI10.1016/J.APAL.2009.12.001zbMath1233.20050arXivmath/0612241OpenAlexW1590484997MaRDI QIDQ636335

Saharon Shelah, Lutz H. Strüngmann

Publication date: 26 August 2011

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612241

zbMATH Keywords

Whitehead groups\(\aleph_1\)-separable Abelian groupsfiltration equivalent groups

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Consistency and independence results (03E35) Applications of set theory (03E75) Torsion-free groups, infinite rank (20K20) Extensions of abelian groups (20K35) Homological and categorical methods for abelian groups (20K40)

Related Items (1)

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Cites Work

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• Set theory. An introduction to independence proofs
• The consistency of \(\mathrm{Ext}\,(G,\mathbb{Z})=\mathbb{Q}\)
• Whitehead groups may not be free even assuming CH. II
• Whitehead groups may be not free, even assuming CH. I
• The Structure of ω 1 -Separable Groups
• Summands of Separable Abelian Groups: Dedicated to Paul Turán on his 60th Birthday
• The structure of \(\text{Ext}(A,\mathbb{Z})\) and GCH: possible co-Moore spaces

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