On the absoluteness of \(\aleph_1\)-freeness

DOI10.1007/s10469-023-09704-3arXiv2104.10341MaRDI QIDQ6072988

Alexandra V. Pasi, Daniel Herden

Publication date: 15 September 2023

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.10341

zbMATH Keywords

absolutenessPontryagin's criteriontransitive model\( \aleph_1\)-free groups

Mathematics Subject Classification ID

Applications of set theory (03E75) Extensions of abelian groups (20K35)

Cites Work

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• Forcing a basis into \(\aleph_1\)-free groups
• THE SET-THEORETIC MULTIVERSE
• Whitehead's Problem is Undecidable
• Prescribing Endomorphism Algebras, a Unified Treatment
• Abelian Groups
• A proof (involving Martin's axiom) of a partition relation

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