The classification of torsion-free abelian groups of finite rank up to isomorphism and up to quasi-isomorphism

DOI10.1090/S0002-9947-2011-05349-3zbMath1250.03080arXiv0902.1218MaRDI QIDQ5388822

Samuel Coskey

Publication date: 20 April 2012

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.1218

zbMATH Keywords

Borel reducibilitysuperrigiditytorsion-free abelian groupscountable Borel equivalence relations

Mathematics Subject Classification ID

Descriptive set theory (03E15) Torsion-free groups, finite rank (20K15)

Related Items (5)

The classification problem for \(S\)-local torsion-free abelian groups of finite rank ⋮ Rotation equivalence and cocycle superrigidity ⋮ Uncountable structures are not classifiable up to bi-embeddability ⋮ Ioana's superrigidity theorem and orbit equivalence relations ⋮ Factorization theory of root closed monoids of small rank

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
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• Unnamed Item
• Superrigidity and countable Borel equivalence relations
• A Borel reductibility theory for classes of countable structures
• THE CLASSIFICATION PROBLEM FOR p-LOCAL TORSION-FREE ABELIAN GROUPS OF RANK TWO
• Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. I
• Linear algebraic groups and countable Borel equivalence relations
• The classification problem for torsion-free abelian groups of finite rank
• Borel equivalence relations and classifications of countable models

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